Spence wants to have $471,929 in 13 years. He plans to make regular savings contributions of $2,749 at the end of each quarter for 13 years, with the first of these regular savings contributions made in one quarter. He also expects to make a special savings contribution of X in 11 years. He expects to earn 4.08% per year on his savings. What is X, the amount of the special savings contribution that Spence will make in 11 years?