Finding the Fourth Proportional to 1,025.01, 1,414.33 and 582.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.01 : 1,414.33 = 582.82 : x
2. Step 2: Convert to fraction form
   1,025.01/1,414.33 = 582.82/x
3. Step 3: Cross multiply
   1,025.01x = 1,414.33 × 582.82
4. Step 4: Simplify right side
   1,025.01x = 824,294.82
5. Step 5: Solve for x
   x = 824,294.82/1,025.01
6. Step 6: Final answer
   x = 804.18