You have just taken out an installment loan for $$100,000.$ Assume that the loan will be repaid in $12$ equal monthly installments of $$9,456$ and that the first payment will be due one month from today. How much of your fourth monthly payment will go toward the repayment of principal?

Question $7$ options:

$$6,359\mathrm{.}12$

$$8,333\mathrm{.}33$

$$7,757\mathrm{.}16$

$$7,212\mathrm{.}50$

$$7,912\mathrm{.}30$