Finding the Fourth Proportional to 10,234.57, 14,124.53 and 5,758.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234.57 : 14,124.53 = 5,758.06 : x
2. Step 2: Convert to fraction form
   10,234.57/14,124.53 = 5,758.06/x
3. Step 3: Cross multiply
   10,234.57x = 14,124.53 × 5,758.06
4. Step 4: Simplify right side
   10,234.57x = 81,329,891.21
5. Step 5: Solve for x
   x = 81,329,891.21/10,234.57
6. Step 6: Final answer
   x = 7,946.59