Jason owes $$42000$ due at the end of $3$ years with interest at $j_4=2\mathrm{.}5\%.$ In order to payoff the loan Jason decides to make deposits in a fund that earns $j_4=13\%.$ The first deposit is $$10000$ at the end of $9$ months and $$x$ at the end of $27$ months. Determine $x$ using the end of $3$ years as a focal date?

Answer: $

Note: Do not round any intermediate calculations.