Finding the Fourth Proportional to 10,276.02, 15,414.15 and 3,697.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,276.02 : 15,414.15 = 3,697.62 : x
2. Step 2: Convert to fraction form
   10,276.02/15,414.15 = 3,697.62/x
3. Step 3: Cross multiply
   10,276.02x = 15,414.15 × 3,697.62
4. Step 4: Simplify right side
   10,276.02x = 56,995,669.32
5. Step 5: Solve for x
   x = 56,995,669.32/10,276.02
6. Step 6: Final answer
   x = 5,546.47