Lynn plans to retire in $4$ years with $$317,000\mathrm{.}00$ in her account, which has an annual return of $4\mathrm{.}36$ percent. If she receives annual payments of $x,$ with her first payment of $x$ received in $4$ years and her last payment of $x$ received in $9$ years, then what is $x,$ the amount of each payment?

$$71,928\mathrm{.}47($plus or minus $10$ dollars$)$

$$68,923\mathrm{.}41($plus or minus $10$ dollars$)$

$$58,626\mathrm{.}01($plus or minus $10$ dollars$)$

$$61,182\mathrm{.}10($plus or minus $10$ dollars$)$

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