Finding the Fourth Proportional to 1,024.72, 1,414.10 and 582.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.72 : 1,414.10 = 582.62 : x
2. Step 2: Convert to fraction form
   1,024.72/1,414.10 = 582.62/x
3. Step 3: Cross multiply
   1,024.72x = 1,414.10 × 582.62
4. Step 4: Simplify right side
   1,024.72x = 823,877.33
5. Step 5: Solve for x
   x = 823,877.33/1,024.72
6. Step 6: Final answer
   x = 804.00