Alvin has an investment worth $$322,791\mathrm{.}21.$ The investment will make a special payment of X to Alvin in $2$ years from today. The investment also will make regular, fixed annual payments of $$64,000\mathrm{.}00$ to Alvin with the first of these payments made to Alvin in $1$ year from today and the last of these annual payments made to Alvin in $7$ years from today. The expected return for the investment is $12$ percent per year. What is X$,$ the amount of the special payment that will be made to Alvin in $2$ years?

$$30,710\mathrm{.}79($plus or minus $10$ dollars$)$

$$17,426\mathrm{.}13($plus or minus $10$ dollars$)$

$$38,523\mathrm{.}62($plus or minus $10$ dollars$)$

$$71,680\mathrm{.}00($plus or minus $10$ dollars$)$

none of the answers are within $10$ dollars of the correct answer