1. **Problem:** Find the area below $x=36$ for a normal distribution with mean $\mu=27$ and standard deviation $\sigma=14$. 2. **Formula:** Use the standard normal variable $Z=\frac{X-\mu}{\sigma}$ to convert $x$ to $z$. 3. **Calculate $z$:** $$z=\frac{36-27}{14}=\frac{9}{14}\approx0.64$$ 4. **Find area below $z=0.64$:** Using standard normal tables or a calculator, $P(Z<0.64)\approx0.7389$. 5. **Interpretation:** The area below $x=36$ is approximately $0.7389$, meaning about 73.89% of the distribution lies below 36. Final answer: $\boxed{0.7389}$