Finding the Fourth Proportional to 1,002.88, 1,384.59 and 649.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.88 : 1,384.59 = 649.12 : x
2. Step 2: Convert to fraction form
   1,002.88/1,384.59 = 649.12/x
3. Step 3: Cross multiply
   1,002.88x = 1,384.59 × 649.12
4. Step 4: Simplify right side
   1,002.88x = 898,765.06
5. Step 5: Solve for x
   x = 898,765.06/1,002.88
6. Step 6: Final answer
   x = 896.18