Finding the Fourth Proportional to 1,002.29, 1,382.90 and 582.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.29 : 1,382.90 = 582.62 : x
2. Step 2: Convert to fraction form
   1,002.29/1,382.90 = 582.62/x
3. Step 3: Cross multiply
   1,002.29x = 1,382.90 × 582.62
4. Step 4: Simplify right side
   1,002.29x = 805,695.37
5. Step 5: Solve for x
   x = 805,695.37/1,002.29
6. Step 6: Final answer
   x = 803.86