Finding the Fourth Proportional to 1,022.67, 1,410.98 and 629.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.67 : 1,410.98 = 629.55 : x
2. Step 2: Convert to fraction form
   1,022.67/1,410.98 = 629.55/x
3. Step 3: Cross multiply
   1,022.67x = 1,410.98 × 629.55
4. Step 4: Simplify right side
   1,022.67x = 888,279.31
5. Step 5: Solve for x
   x = 888,279.31/1,022.67
6. Step 6: Final answer
   x = 868.59