Finding the Fourth Proportional to 10,520.30, 14,517.68 and 5,740.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,520.30 : 14,517.68 = 5,740.34 : x
2. Step 2: Convert to fraction form
   10,520.30/14,517.68 = 5,740.34/x
3. Step 3: Cross multiply
   10,520.30x = 14,517.68 × 5,740.34
4. Step 4: Simplify right side
   10,520.30x = 83,336,317.92
5. Step 5: Solve for x
   x = 83,336,317.92/10,520.30
6. Step 6: Final answer
   x = 7,921.48