Finding the Fourth Proportional to 1,007.46, 1,390.17 and 582.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.46 : 1,390.17 = 582.06 : x
2. Step 2: Convert to fraction form
   1,007.46/1,390.17 = 582.06/x
3. Step 3: Cross multiply
   1,007.46x = 1,390.17 × 582.06
4. Step 4: Simplify right side
   1,007.46x = 809,162.35
5. Step 5: Solve for x
   x = 809,162.35/1,007.46
6. Step 6: Final answer
   x = 803.17