Finding the Fourth Proportional to 1,022.43, 1,410.42 and 649.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.43 : 1,410.42 = 649.29 : x
2. Step 2: Convert to fraction form
   1,022.43/1,410.42 = 649.29/x
3. Step 3: Cross multiply
   1,022.43x = 1,410.42 × 649.29
4. Step 4: Simplify right side
   1,022.43x = 915,764.55
5. Step 5: Solve for x
   x = 915,764.55/1,022.43
6. Step 6: Final answer
   x = 895.68