Question $5[5$ points$]$

The China Fund is a mutual fund that can be purchased on the New York Stock Exchange. The rates of total return provided by the fund for each year $2004-2008$ were $17\%,-8\mathrm{.}5\%,18\mathrm{.}25\%,-14\mathrm{.}75\%$ and $3\mathrm{.}5\%.$ If your investment is worth $$2,508\mathrm{.}52$ at the end of $2008,$ what was your investment value at the beginning of $2004?$

For full marks your answer$($s$)$ should be rounded to the nearest cent.