To purchase a specialty guitar for his band, for the last three years $\mathrm{J}$ Morrison has made payments of $\$ 87$ at the end of each month into a savings account earning interest at $6.11 \%$ compounded monthly. If he leaves the accumulated money in the savings account for another four years at $7.04 \%$ compounded quarterly, how much will he have saved to buy the guitar?
The balance in the account will be $\$ \square$. (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)

Step 1 ：Define the variables: the monthly payment P is $87, the annual interest rate for the first three years r1 is 6.11%, the number of times the interest is compounded per year for the first three years n1 is 12, the number of years for the first period t1 is 3, the annual interest rate for the next four years r2 is 7.04%, the number of times the interest is compounded per year for the next four years n2 is 4, and the number of years for the second period t2 is 4.

Step 2 ：Calculate the future value after the first three years using the formula for the future value of a series of payments (or annuity): \(FV1 = P \times \left(\left(1 + \frac{r1}{n1}\right)^{n1 \times t1} - 1\right) / \left(\frac{r1}{n1}\right)\). This gives \(FV1 = 3427.877495789078\).

Step 3 ：Calculate the total amount of money in the account after the next four years using the formula for the future value of a single sum: \(FV2 = FV1 \times \left(1 + \frac{r2}{n2}\right)^{n2 \times t2}\). This gives \(FV2 = 4531.676146874629\).

Step 4 ：Round the final amount of money in the account to the nearest cent to get the final answer: \(\boxed{4531.68}\).