Sum \rightarrow Product

Algebra Level 1

113+1517+19111+=π411×3+15×7+19×11+=πx\begin{aligned} 1 - \dfrac{1}{3} + \dfrac{1}{5} - \dfrac{1}{7} + \dfrac{1}{9} - \dfrac{1}{11} + \cdots & = \dfrac{\pi}{4} \\\\ \dfrac{1}{1 \times 3} + \dfrac{1}{5 \times 7} + \dfrac{1}{9 \times 11} + \cdots &=\dfrac{\pi}{\color{#3D99F6}x} \end{aligned}

What is x?{\color{#3D99F6}x}?

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