Finding the Fourth Proportional to 6,414.78, 8,851.98 and 3,725.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414.78 : 8,851.98 = 3,725.76 : x
2. Step 2: Convert to fraction form
   6,414.78/8,851.98 = 3,725.76/x
3. Step 3: Cross multiply
   6,414.78x = 8,851.98 × 3,725.76
4. Step 4: Simplify right side
   6,414.78x = 32,980,353.00
5. Step 5: Solve for x
   x = 32,980,353.00/6,414.78
6. Step 6: Final answer
   x = 5,141.31