Finding the Fourth Proportional to 10,522.77, 14,521.50 and 5,742.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522.77 : 14,521.50 = 5,742.75 : x
2. Step 2: Convert to fraction form
   10,522.77/14,521.50 = 5,742.75/x
3. Step 3: Cross multiply
   10,522.77x = 14,521.50 × 5,742.75
4. Step 4: Simplify right side
   10,522.77x = 83,393,289.67
5. Step 5: Solve for x
   x = 83,393,289.67/10,522.77
6. Step 6: Final answer
   x = 7,925.03