Finding the Fourth Proportional to 2,527.91, 3,792.10 and 863.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.91 : 3,792.10 = 863.20 : x
2. Step 2: Convert to fraction form
   2,527.91/3,792.10 = 863.20/x
3. Step 3: Cross multiply
   2,527.91x = 3,792.10 × 863.20
4. Step 4: Simplify right side
   2,527.91x = 3,273,340.72
5. Step 5: Solve for x
   x = 3,273,340.72/2,527.91
6. Step 6: Final answer
   x = 1,294.88