Finding the Fourth Proportional to 10,522.32, 14,520.87 and 5,742.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522.32 : 14,520.87 = 5,742.60 : x
2. Step 2: Convert to fraction form
   10,522.32/14,520.87 = 5,742.60/x
3. Step 3: Cross multiply
   10,522.32x = 14,520.87 × 5,742.60
4. Step 4: Simplify right side
   10,522.32x = 83,387,548.06
5. Step 5: Solve for x
   x = 83,387,548.06/10,522.32
6. Step 6: Final answer
   x = 7,924.83