Charles has an investment worth $$311,700\mathrm{.}00.$ The investment will make a special payment of $x$ to Charles in $3$ months and the investment also will make regular, fixed monthly payments of $$2,410\mathrm{.}00$ to Charles forever. The expected return for the investment is $0\mathrm{.}80$ percent per month and the first regular, fixed monthly payment of $$2,410\mathrm{.}00$ will be made to Charles in $1$ month. What is $x,$ the amount of the special payment that will be made to Charles in $3$ months?

$$10,702\mathrm{.}81($plus or minus $3$ dollars$)$

$$2,468\mathrm{.}30($plus or minus $3$ dollars$)$

$$294,134\mathrm{.}16($plus or minus $3$ dollars$)$

$$308,537\mathrm{.}99($plus or minus $3$ dollars$)$

none of the answers are within $3$ dollars of the correct answer