Finding the Fourth Proportional to 5,715.38, 7,882.79 and 3,826.37

Step by Step Solution

1. Step 1: Write the proportion equation
   5,715.38 : 7,882.79 = 3,826.37 : x
2. Step 2: Convert to fraction form
   5,715.38/7,882.79 = 3,826.37/x
3. Step 3: Cross multiply
   5,715.38x = 7,882.79 × 3,826.37
4. Step 4: Simplify right side
   5,715.38x = 30,162,471.75
5. Step 5: Solve for x
   x = 30,162,471.75/5,715.38
6. Step 6: Final answer
   x = 5,277.42