Finding the Fourth Proportional to 10,462.64, 14,438.68 and 5,747.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.64 : 14,438.68 = 5,747.02 : x
2. Step 2: Convert to fraction form
   10,462.64/14,438.68 = 5,747.02/x
3. Step 3: Cross multiply
   10,462.64x = 14,438.68 × 5,747.02
4. Step 4: Simplify right side
   10,462.64x = 82,979,332.27
5. Step 5: Solve for x
   x = 82,979,332.27/10,462.64
6. Step 6: Final answer
   x = 7,931.02