You have $$15,195$ to invest in a stock portfolio. Your choices are Stock X with an expected return of $13$ percent and Stock Y with an expected return of $8$ percent. If your goal is to create a portfolio with an expected return of $10\mathrm{.}48,$ how much money will you invest in Stock X$?($Round your final answer to the nearest dollar amount. Omit the $"$$$"$ sign and commas in your response. For example, $$123,456\mathrm{.}78$ should be entered as $123457.)$