Finding the Fourth Proportional to 1,022.43, 1,410.78 and 629.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.43 : 1,410.78 = 629.31 : x
2. Step 2: Convert to fraction form
   1,022.43/1,410.78 = 629.31/x
3. Step 3: Cross multiply
   1,022.43x = 1,410.78 × 629.31
4. Step 4: Simplify right side
   1,022.43x = 887,817.96
5. Step 5: Solve for x
   x = 887,817.96/1,022.43
6. Step 6: Final answer
   x = 868.34