Finding the Fourth Proportional to 1,025.02, 1,414.28 and 582.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.02 : 1,414.28 = 582.82 : x
2. Step 2: Convert to fraction form
   1,025.02/1,414.28 = 582.82/x
3. Step 3: Cross multiply
   1,025.02x = 1,414.28 × 582.82
4. Step 4: Simplify right side
   1,025.02x = 824,270.67
5. Step 5: Solve for x
   x = 824,270.67/1,025.02
6. Step 6: Final answer
   x = 804.15