Linda has an investment worth $$237,000\mathrm{.}00.$ The investment will make a special payment of $x$ to Linda in $3$ quarters in addition to making regular quarterly payments to Linda forever. The first regular quarterly payment to Linda is expected to be $$1,850\mathrm{.}00$ and will be made in $3$ months. All subsequent regular quarterly payments are expected to increase by $0\mathrm{.}18$ percent per quarter forever. The expected return for the investment is $1\mathrm{.}26$ percent per quarter. What is $x,$ the amount of the special payment that will be made to Linda in $3$ quarters?

$$90,662\mathrm{.}42($plus or minus $10$ dollars$)$

$$68,218\mathrm{.}73($plus or minus $10$ dollars$)$

$$93,626\mathrm{.}33($plus or minus $10$ dollars$)$

$$65,703\mathrm{.}70($plus or minus $10$ dollars$)$

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