Finding the Fourth Proportional to 1,025.30, 1,414.96 and 577.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.30 : 1,414.96 = 577.20 : x
2. Step 2: Convert to fraction form
   1,025.30/1,414.96 = 577.20/x
3. Step 3: Cross multiply
   1,025.30x = 1,414.96 × 577.20
4. Step 4: Simplify right side
   1,025.30x = 816,714.91
5. Step 5: Solve for x
   x = 816,714.91/1,025.30
6. Step 6: Final answer
   x = 796.56