Finding the Fourth Proportional to 5,105.13, 7,641.78 and 3,932.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.13 : 7,641.78 = 3,932.10 : x
2. Step 2: Convert to fraction form
   5,105.13/7,641.78 = 3,932.10/x
3. Step 3: Cross multiply
   5,105.13x = 7,641.78 × 3,932.10
4. Step 4: Simplify right side
   5,105.13x = 30,048,243.14
5. Step 5: Solve for x
   x = 30,048,243.14/5,105.13
6. Step 6: Final answer
   x = 5,885.89