Finding the Fourth Proportional to 1,002.54, 1,384.16 and 648.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.54 : 1,384.16 = 648.62 : x
2. Step 2: Convert to fraction form
   1,002.54/1,384.16 = 648.62/x
3. Step 3: Cross multiply
   1,002.54x = 1,384.16 × 648.62
4. Step 4: Simplify right side
   1,002.54x = 897,793.86
5. Step 5: Solve for x
   x = 897,793.86/1,002.54
6. Step 6: Final answer
   x = 895.52