Finding the Fourth Proportional to 1,002.22, 1,383.38 and 582.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.22 : 1,383.38 = 582.71 : x
2. Step 2: Convert to fraction form
   1,002.22/1,383.38 = 582.71/x
3. Step 3: Cross multiply
   1,002.22x = 1,383.38 × 582.71
4. Step 4: Simplify right side
   1,002.22x = 806,105.24
5. Step 5: Solve for x
   x = 806,105.24/1,002.22
6. Step 6: Final answer
   x = 804.32