Finding the Fourth Proportional to 10,522.19, 14,520.17 and 5,742.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522.19 : 14,520.17 = 5,742.02 : x
2. Step 2: Convert to fraction form
   10,522.19/14,520.17 = 5,742.02/x
3. Step 3: Cross multiply
   10,522.19x = 14,520.17 × 5,742.02
4. Step 4: Simplify right side
   10,522.19x = 83,375,047.03
5. Step 5: Solve for x
   x = 83,375,047.03/10,522.19
6. Step 6: Final answer
   x = 7,923.73