You have $$10,000$ to invest in a stock portfolio. Your choices are stock $x$ with an expected return of $13\%$ and stock $Y$ with an expected return of $8\%.$ Your goal is to create a portfolio with an expected return of $12\mathrm{.}4\%.$ All money must be invested.

How much money will you invest in stock X$?($Please$,$ do not round your intermediate calculations; round only, if necessary, your final answer, expressed in dollars, to two decimal places without the $ symbol. Example, if your final answer calculated as $x**Y,$ or $\frac{x}{Y},$ or $x+Y,$ or $x-Y,$ is $$12,455\mathrm{.}456,$ enter it as $12,455\mathrm{.}46)$