Finding the Fourth Proportional to 1,025.16, 1,414.56 and 582.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.16 : 1,414.56 = 582.96 : x
2. Step 2: Convert to fraction form
   1,025.16/1,414.56 = 582.96/x
3. Step 3: Cross multiply
   1,025.16x = 1,414.56 × 582.96
4. Step 4: Simplify right side
   1,025.16x = 824,631.90
5. Step 5: Solve for x
   x = 824,631.90/1,025.16
6. Step 6: Final answer
   x = 804.39