Spence wants to have $433,587 in 11 years. He plans to make regular savings contributions of $2,086 at the end of each quarter for 11 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 7 years. He expects to earn 7.44% per year on his savings. What is X, the amount of the special savings contribution that Spence will make in 7 years?