Finding the Fourth Proportional to 1,002.48, 1,383.27 and 582.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.48 : 1,383.27 = 582.75 : x
2. Step 2: Convert to fraction form
   1,002.48/1,383.27 = 582.75/x
3. Step 3: Cross multiply
   1,002.48x = 1,383.27 × 582.75
4. Step 4: Simplify right side
   1,002.48x = 806,100.59
5. Step 5: Solve for x
   x = 806,100.59/1,002.48
6. Step 6: Final answer
   x = 804.11