Finding the Fourth Proportional to 6,414.57, 8,854.20 and 3,761.91

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414.57 : 8,854.20 = 3,761.91 : x
2. Step 2: Convert to fraction form
   6,414.57/8,854.20 = 3,761.91/x
3. Step 3: Cross multiply
   6,414.57x = 8,854.20 × 3,761.91
4. Step 4: Simplify right side
   6,414.57x = 33,308,703.52
5. Step 5: Solve for x
   x = 33,308,703.52/6,414.57
6. Step 6: Final answer
   x = 5,192.66