Finding the Fourth Proportional to 1,002.42, 1,382.92 and 648.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.42 : 1,382.92 = 648.24 : x
2. Step 2: Convert to fraction form
   1,002.42/1,382.92 = 648.24/x
3. Step 3: Cross multiply
   1,002.42x = 1,382.92 × 648.24
4. Step 4: Simplify right side
   1,002.42x = 896,464.06
5. Step 5: Solve for x
   x = 896,464.06/1,002.42
6. Step 6: Final answer
   x = 894.30