Finding the Fourth Proportional to 3,738.12, 5,158.80 and 2,414.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,738.12 : 5,158.80 = 2,414.40 : x
2. Step 2: Convert to fraction form
   3,738.12/5,158.80 = 2,414.40/x
3. Step 3: Cross multiply
   3,738.12x = 5,158.80 × 2,414.40
4. Step 4: Simplify right side
   3,738.12x = 12,455,406.72
5. Step 5: Solve for x
   x = 12,455,406.72/3,738.12
6. Step 6: Final answer
   x = 3,332.00