As'Salamu Alaikum,
Bro Mohammad , glad to see you.
And yes the answer is correct. May Allah swt reward both of you.
Four days before Prophet's departure from this world :
In the evening he grew so sick that he could not overcome the strain of disease or go out to enter the Mosque. �Aishah said: The Prophet [pbuh] asked: "Have the people performed the prayer?" "No. They haven�t. They are waiting for you." "Put some water in the washing pot." Said he. We did what he ordered. So he washed and wanted to stand up, but he fainted. When he came round he asked again "Have the people prayed?" Then the same sequence of events took place again and again for the second and the third times from the time he washed to the time he fainted after his attempts to stand up. Therefore he sent to Abu Bakr to lead the prayer himself. Abu Bakr then led the prayer during those days. [Sahih Al-Bukhari 1/99]
They were seventeen prayers in the lifetime of Muhammad [pbuh].
A Day or Two prior to Death
On Saturday or on Sunday, the Prophet [pbuh] felt that he was well enough to perform the prayer; so he went out leaning on two men in order to perform the noon prayer. Abu Bakr, who was then about to lead the prayer withdrew when he saw him coming; but the Prophet [pbuh] made him a gesture to stay where he was and said:
"Seat me next to him." They seated him on the left hand side of Abu Bakr. The Prophet [pbuh] led the prayer, and Abu Bakr followed him and raised his voice at every �All�hu Akbar� (i.e. All�h is the Greatest) the Prophet [pbuh] said, so that the people may hear clearly. [Sahih Al-Bukhari 1/98,99]
The Last Day Alive
In a narration by Anas bin Malik, he said: "While the Muslims were performing the dawn prayer on Monday � led by Abu Bakr, they were surprised to see the Messenger of All�h [pbuh] raising the curtain of �Aishah�s room. He looked at them while they were praying aligned properly and smiled cheerfully. Seeing him, Abu Bakr withdrew to join the lines and give way to him to lead the prayer. For he thought that the Prophet [pbuh] wanted to go out and pray." Anas said: "The Muslims, who were praying, were so delighted that they were almost too enraptured at their prayers. The Messenger of All�h [pbuh] made them a gesture to continue their prayer, went into the room and drew down the curtain." [ibid 2/640]
The Messenger of All�h [pbuh] did not live for the next prayer time.
From the above hadith in Blue, it is n't clear if Abu Bakr RA leaded the prayer. Kindly try to find it out. Even i shall try out here, insha-Allah.