AMC 12 2014a Problem 7

The first three terms of a geometric progression are $\sqrt 3$, $\sqrt[3]3$, and $\sqrt[6]3$. What is the fourth term?

$\textbf{(A) }1 \textbf{(B) }\sqrt[7]3 \textbf{(C) }\sqrt[8]3 \textbf{(D) }\sqrt[9]3 \textbf{(E) }\sqrt[10]3$