Finding the Fourth Proportional to 10,234.16, 14,123 and 5,757.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234.16 : 14,123 = 5,757.91 : x
2. Step 2: Convert to fraction form
   10,234.16/14,123 = 5,757.91/x
3. Step 3: Cross multiply
   10,234.16x = 14,123 × 5,757.91
4. Step 4: Simplify right side
   10,234.16x = 81,318,962.93
5. Step 5: Solve for x
   x = 81,318,962.93/10,234.16
6. Step 6: Final answer
   x = 7,945.84