The Church always has a Prophet President
A Deseret Morning News article published Sunday said:
"Sometime soon, following President Hinckley's funeral, quorum members will sustain a new church president. If historical precedent holds, the quorum's senior apostle and president, President Monson, will succeed President Hinckley." (Full article here.)
There is no ' if ' about it. President Monson has already succeeded President Hinckley:
"As the last heartbeat of President [Hinckley] ceased, the mantle of leadership passed to President [Monson], whose next heartbeat was that of the living oracle and presiding authority of God on earth. From that moment the Church continued under the direction of President [Monson].
"It was not required, nor was it requisite or needed, that the Lord give any revelation, that any special direction be given. The law was already ordained and established. God does not look down each morning and say, ' The sun shall rise.' He has already established the law, he has set the sun in the firmament, and the sun operates in harmony with established law in its rising. And so it was with the transfer of leadership from President [Hinckley] to President [Monson]."
(Adapted from Bruce R. McConkie, "Succession in the Presidency," BYU Speeches, January 1974.)