Emily took out a loan for $$2,450$ with an annual effective rate of interest of $5\mathrm{.}2\%.$ She repays the loan with the following three payments:

a payment of $$675$ at the end of year $1,$

a payment of $$1,200$ at the end of year $3$ and

a final payment of X at the end of year $5.$

Find the outstanding loan balance at the end of year $1.($answer to the nearest cent$)$