Finding the Fourth Proportional to 1,022.80, 1,410.72 and 629.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.80 : 1,410.72 = 629.68 : x
2. Step 2: Convert to fraction form
   1,022.80/1,410.72 = 629.68/x
3. Step 3: Cross multiply
   1,022.80x = 1,410.72 × 629.68
4. Step 4: Simplify right side
   1,022.80x = 888,302.17
5. Step 5: Solve for x
   x = 888,302.17/1,022.80
6. Step 6: Final answer
   x = 868.50