The answer is 142857.

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Let $\Large x$ be the answer. Let $\large0.\overline{x}=\frac{a}{b}$ for some integers a and b. From the given info, $\large5\times\frac{a}{b}=0.7\overline{x}$ So, $\large50\times\frac{a}{b}=7.\overline{x}=7+\frac{a}{b}$ Thus, $\large49\times\frac{a}{b}=7\Rightarrow0.\overline{x}=\frac{a}{b}=\frac{1}{7}=0.\overline{142857}$ Hence $\large x=142857$