Finding the Fourth Proportional to 1,024.83, 1,414.35 and 582.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.83 : 1,414.35 = 582.89 : x
2. Step 2: Convert to fraction form
   1,024.83/1,414.35 = 582.89/x
3. Step 3: Cross multiply
   1,024.83x = 1,414.35 × 582.89
4. Step 4: Simplify right side
   1,024.83x = 824,403.40
5. Step 5: Solve for x
   x = 824,403.40/1,024.83
6. Step 6: Final answer
   x = 804.43