Let x = (58.72 x 406)/(0.845).

Step 1: Let $x = \frac{58.72 \times 406}{0.845}$.

Step 2: Take the logarithm (base 10) of both sides.

$$\log x = \log \left(\frac{58.72 \times 406}{0.845}\right)$$

Step 3: Apply logarithm properties $\log(AB) = \log A + \log B$ and $\log(\frac{A}{B}) = \log A - \log B$.

$$\log x = \log(58.72) + \log(406) - \log(0.845)$$

Step 4: Find the logarithm values.

$$\log(58.72) \approx 1.76878$$ $$\log(406) \approx 2.60852$$ $$\log(0.845) \approx -0.07319$$

Step 5: Substitute the values and calculate $\log x$.

$$\log x = 1.76878 + 2.60852 - (-0.07319)$$ $$\log x = 1.76878 + 2.60852 + 0.07319$$ $$\log x = 4.45049$$

Step 6: Find the antilogarithm of $\log x$.

$$x = 10^{4.45049}$$ $$x \approx 28214.9$$

Rounding to a reasonable number of significant figures (e.g., 4 or 5).

$$x \approx 28215$$

The evaluated value is $\boxed{28215}$.