Finding the Fourth Proportional to 1,007.31, 1,390.17 and 582.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.31 : 1,390.17 = 582.08 : x
2. Step 2: Convert to fraction form
   1,007.31/1,390.17 = 582.08/x
3. Step 3: Cross multiply
   1,007.31x = 1,390.17 × 582.08
4. Step 4: Simplify right side
   1,007.31x = 809,183.20
5. Step 5: Solve for x
   x = 809,183.20/1,007.31
6. Step 6: Final answer
   x = 803.31