Charles just took out a loan from the bank for $$16,700\mathrm{.}00.$ He plans to repay this loan by making a special payment to the bank of $$5,200\mathrm{.}00$ in $2$ quarters and by also making equal, regular quarterly payments of X$.$ If the interest rate on the loan is $3\mathrm{.}43$ percent per quarter, he makes his first regular quarterly payment later today, and he makes his last regular quarterly payment in $5$ quarters, then what is X$,$ the amount of the regular quarterly payment?

$$2,530\mathrm{.}17($plus or minus $$1)$

$$2,143\mathrm{.}22($plus or minus $$1)$

$$2,216\mathrm{.}73($plus or minus $$1)$

$$2,616\mathrm{.}96($plus or minus $$1)$

none of the answers are within $$1$ of the correct answer