The lawyer for a credit union member has sent a cheque for $$2267\mathrm{.}12$ in full settlement of the member's loan balance including interest at $3\frac{1}{4}\%$ for $8$ months. How much of the payment is interest?

The amount of the payment that is interest is $$715\mathrm{.}93.$

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$