To solve the equation \( 10 \log x = 1107 \), we can first isolate \( \log x \):
\[ \log x = \frac{1107}{10} = 110.7 \]
Now, to find \( x \), we rewrite the logarithmic equation in exponential form:
\[ x = 10^{110.7} \]
Now, none of the provided choices \( -7, 10^{-7}, 7, 10^7 \) are equal to \( 10^{110.7} \). However, if we look at the exponent, \( 10^{110.7} \) can be rewritten, but it doesn't match directly with any of the choices.
Since the answer falls outside the given options, the question might have been framed with incorrect choices. But for the presented problem, the correct value of \( x \) is \( 10^{110.7} \).