1. **State the problem:** We need to find a number such that when it is multiplied by 4 and then 7 is added to the product, the result is 19. 2. **Set up the equation:** Let the number be $x$. According to the problem, the equation is: $$4x + 7 = 19$$ 3. **Solve for $x$:** Subtract 7 from both sides: $$4x + 7 - 7 = 19 - 7$$ $$4x = 12$$ Divide both sides by 4: $$\frac{\cancel{4}x}{\cancel{4}} = \frac{12}{4}$$ $$x = 3$$ 4. **Answer:** The number is $3$.