Finding the Fourth Proportional to 1,022.78, 1,410.84 and 629.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.78 : 1,410.84 = 629.72 : x
2. Step 2: Convert to fraction form
   1,022.78/1,410.84 = 629.72/x
3. Step 3: Cross multiply
   1,022.78x = 1,410.84 × 629.72
4. Step 4: Simplify right side
   1,022.78x = 888,434.16
5. Step 5: Solve for x
   x = 888,434.16/1,022.78
6. Step 6: Final answer
   x = 868.65