Finding the Fourth Proportional to 1,002.29, 1,383.20 and 582.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.29 : 1,383.20 = 582.63 : x
2. Step 2: Convert to fraction form
   1,002.29/1,383.20 = 582.63/x
3. Step 3: Cross multiply
   1,002.29x = 1,383.20 × 582.63
4. Step 4: Simplify right side
   1,002.29x = 805,890.90
5. Step 5: Solve for x
   x = 805,890.90/1,002.29
6. Step 6: Final answer
   x = 804.05