Can you PLease explain how to find the answer $($the right answer is provided already below$)$ Thank you.

A debt of $$10,000$ is carrying interest at $7\mathrm{.}7\frac{\%}{y}$ear compounded semi$-$annually and is due in $78$ years. The market interest rates on such a debt are currently of $9\mathrm{.}8\frac{\%}{y}$ear

compounded monthly. Determine the present value of the debt.

$($Enter the value only; do NOT add a $ sign.$)$

Answer:

The correct answer is: $1791\mathrm{.}22$