1. **State the problem:** Solve the equation $\frac{26991.5}{x} = 0.025$ for $x$. 2. **Formula and rules:** To solve for $x$ when it is in the denominator, multiply both sides of the equation by $x$ to eliminate the fraction. 3. **Multiply both sides by $x$:** $$\frac{26991.5}{\cancel{x}} \times x = 0.025 \times x$$ which simplifies to $$26991.5 = 0.025x$$ 4. **Isolate $x$ by dividing both sides by 0.025:** $$x = \frac{26991.5}{0.025}$$ 5. **Calculate the division:** $$x = 1079660$$ 6. **Final answer:** $$\boxed{1079660}$$ This means $x$ equals 1079660 to satisfy the original equation.