Finding the Fourth Proportional to 10,234.50, 14,122.60 and 5,758.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234.50 : 14,122.60 = 5,758.15 : x
2. Step 2: Convert to fraction form
   10,234.50/14,122.60 = 5,758.15/x
3. Step 3: Cross multiply
   10,234.50x = 14,122.60 × 5,758.15
4. Step 4: Simplify right side
   10,234.50x = 81,320,049.19
5. Step 5: Solve for x
   x = 81,320,049.19/10,234.50
6. Step 6: Final answer
   x = 7,945.68