Finding the Fourth Proportional to 10,424.29, 14,385.38 and 5,708.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.29 : 14,385.38 = 5,708.57 : x
2. Step 2: Convert to fraction form
   10,424.29/14,385.38 = 5,708.57/x
3. Step 3: Cross multiply
   10,424.29x = 14,385.38 × 5,708.57
4. Step 4: Simplify right side
   10,424.29x = 82,119,920.16
5. Step 5: Solve for x
   x = 82,119,920.16/10,424.29
6. Step 6: Final answer
   x = 7,877.75