Finding the Fourth Proportional to 1,002.92, 1,384.56 and 649.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.92 : 1,384.56 = 649.35 : x
2. Step 2: Convert to fraction form
   1,002.92/1,384.56 = 649.35/x
3. Step 3: Cross multiply
   1,002.92x = 1,384.56 × 649.35
4. Step 4: Simplify right side
   1,002.92x = 899,064.04
5. Step 5: Solve for x
   x = 899,064.04/1,002.92
6. Step 6: Final answer
   x = 896.45