Finding the Fourth Proportional to 10,429.38, 14,392.62 and 5,714.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.38 : 14,392.62 = 5,714.10 : x
2. Step 2: Convert to fraction form
   10,429.38/14,392.62 = 5,714.10/x
3. Step 3: Cross multiply
   10,429.38x = 14,392.62 × 5,714.10
4. Step 4: Simplify right side
   10,429.38x = 82,240,869.94
5. Step 5: Solve for x
   x = 82,240,869.94/10,429.38
6. Step 6: Final answer
   x = 7,885.50