# $\sum \frac{x_n}{x_1 + x_2 + \dots + x_n}$ convergent implies $\sum x_n$ convergent

How do I show that if $\displaystyle \sum \frac{x_n}{x_1 + x_2 + \dots + x_n}$ converges then $\displaystyle \sum x_n$ converges.

I was able to prove it the other way around, but I'm stuck for this one.