Finding the Fourth Proportional to 10,524.64, 14,524.09 and 5,744.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,524.64 : 14,524.09 = 5,744.62 : x
2. Step 2: Convert to fraction form
   10,524.64/14,524.09 = 5,744.62/x
3. Step 3: Cross multiply
   10,524.64x = 14,524.09 × 5,744.62
4. Step 4: Simplify right side
   10,524.64x = 83,435,377.90
5. Step 5: Solve for x
   x = 83,435,377.90/10,524.64
6. Step 6: Final answer
   x = 7,927.62