Finding the Fourth Proportional to 1,024.76, 1,414.32 and 582.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.76 : 1,414.32 = 582.71 : x
2. Step 2: Convert to fraction form
   1,024.76/1,414.32 = 582.71/x
3. Step 3: Cross multiply
   1,024.76x = 1,414.32 × 582.71
4. Step 4: Simplify right side
   1,024.76x = 824,129.15
5. Step 5: Solve for x
   x = 824,129.15/1,024.76
6. Step 6: Final answer
   x = 804.21