Finding the Fourth Proportional to 5,155.38, 7,732.17 and 1,456.74

Step by Step Solution

1. Step 1: Write the proportion equation
   5,155.38 : 7,732.17 = 1,456.74 : x
2. Step 2: Convert to fraction form
   5,155.38/7,732.17 = 1,456.74/x
3. Step 3: Cross multiply
   5,155.38x = 7,732.17 × 1,456.74
4. Step 4: Simplify right side
   5,155.38x = 11,263,761.33
5. Step 5: Solve for x
   x = 11,263,761.33/5,155.38
6. Step 6: Final answer
   x = 2,184.86