For a $$250,000$ loan with $6\%$ APR maturing in $20$ years with monthly payment. How much out of the $1$st payment goes to reducing the outstanding balance of the loan?

$1)$ $$1,791\mathrm{.}08$

$2)$ $$1,250$

$3)$ $$541\mathrm{.}08$

$4)$ $$21,796\mathrm{.}14$