Finding the Fourth Proportional to 1,002.86, 1,384.74 and 648.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.86 : 1,384.74 = 648.95 : x
2. Step 2: Convert to fraction form
   1,002.86/1,384.74 = 648.95/x
3. Step 3: Cross multiply
   1,002.86x = 1,384.74 × 648.95
4. Step 4: Simplify right side
   1,002.86x = 898,627.02
5. Step 5: Solve for x
   x = 898,627.02/1,002.86
6. Step 6: Final answer
   x = 896.06