Finding the Fourth Proportional to 10,492.62, 14,480.49 and 5,777.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.62 : 14,480.49 = 5,777.20 : x
2. Step 2: Convert to fraction form
   10,492.62/14,480.49 = 5,777.20/x
3. Step 3: Cross multiply
   10,492.62x = 14,480.49 × 5,777.20
4. Step 4: Simplify right side
   10,492.62x = 83,656,686.83
5. Step 5: Solve for x
   x = 83,656,686.83/10,492.62
6. Step 6: Final answer
   x = 7,972.91