During the last four years, a certain mutual fund had the following rates of return:

At the beginning of 2014, Alice invested $2,994 in this fund. At the beginning of 2015, Bob decided to invest some money in this fund as well. How much did Bob invest in 2015 if, at the end of 2017, Alice has 22% more than Bob in the fund?

\begin{tabular}{|l|l|} \hline Year & Rate of Return \\ \hline 2014 & 3.5% \\ \hline 2015 & 5.1% \\ \hline 2016 & 4.2% \\ \hline 2017 & 6.2% \\ \hline \end{tabular}