Finding the Fourth Proportional to 1,002.92, 1,384.76 and 649.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.92 : 1,384.76 = 649.05 : x
2. Step 2: Convert to fraction form
   1,002.92/1,384.76 = 649.05/x
3. Step 3: Cross multiply
   1,002.92x = 1,384.76 × 649.05
4. Step 4: Simplify right side
   1,002.92x = 898,780.10
5. Step 5: Solve for x
   x = 898,780.10/1,002.92
6. Step 6: Final answer
   x = 896.17