Finding the Fourth Proportional to 1,002.30, 1,382.82 and 582.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.30 : 1,382.82 = 582.78 : x
2. Step 2: Convert to fraction form
   1,002.30/1,382.82 = 582.78/x
3. Step 3: Cross multiply
   1,002.30x = 1,382.82 × 582.78
4. Step 4: Simplify right side
   1,002.30x = 805,879.84
5. Step 5: Solve for x
   x = 805,879.84/1,002.30
6. Step 6: Final answer
   x = 804.03