Finding the Fourth Proportional to 10,522.96, 14,521.77 and 5,742.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522.96 : 14,521.77 = 5,742.94 : x
2. Step 2: Convert to fraction form
   10,522.96/14,521.77 = 5,742.94/x
3. Step 3: Cross multiply
   10,522.96x = 14,521.77 × 5,742.94
4. Step 4: Simplify right side
   10,522.96x = 83,397,653.80
5. Step 5: Solve for x
   x = 83,397,653.80/10,522.96
6. Step 6: Final answer
   x = 7,925.30