Rosendo has an investment worth $$375,940\mathrm{.}75.$ The investment will make a special payment of X to Rosendo in $3$ years from today. The investment also will make regular, fixed annual payments of $$67,000\mathrm{.}00$ to Rosendo with the first of these payments made to Rosendo in $1$ year from today and the last of these annual payments made to Rosendo in $8$ years from today. The expected return for the investment is $10$ percent per year. What is X$,$ the amount of the special payment that will be made to Rosendo in $3$ years?

$$24,624\mathrm{.}43($plus or minus $10$ dollars$)$

$$18,500\mathrm{.}70($plus or minus $10$ dollars$)$

$$11,487\mathrm{.}48($plus or minus $10$ dollars$)$

$$81,070\mathrm{.}00($plus or minus $10$ dollars$)$

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