Finding the Fourth Proportional to 1,002.04, 1,382.81 and 582.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.04 : 1,382.81 = 582.48 : x
2. Step 2: Convert to fraction form
   1,002.04/1,382.81 = 582.48/x
3. Step 3: Cross multiply
   1,002.04x = 1,382.81 × 582.48
4. Step 4: Simplify right side
   1,002.04x = 805,456.26
5. Step 5: Solve for x
   x = 805,456.26/1,002.04
6. Step 6: Final answer
   x = 803.82