The pattern of Pascal's triangle is illustrated in the diagram shown. What is the fourth element in Row 15 of Pascal's triangle?
\(\begin{array}{ccccccccccccc} \textrm{Row 0}: & \qquad & & & & & 1 & & & & & & \\ \textrm{Row 1}: & \qquad & & & & 1 & & 1 & & & & &\\ \textrm{Row 2}: & \qquad & & & 1 & & 2 & & 1 & & & &\\ \textrm{Row 3}: & \qquad & & 1 && 3 && 3 && 1&& \\ \textrm{Row 4}: & \qquad & 1&& 4 && 6 && 4 && 1 \end{array} \)
