Finding the Fourth Proportional to 1,022.18, 1,410.89 and 629.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.18 : 1,410.89 = 629.54 : x
2. Step 2: Convert to fraction form
   1,022.18/1,410.89 = 629.54/x
3. Step 3: Cross multiply
   1,022.18x = 1,410.89 × 629.54
4. Step 4: Simplify right side
   1,022.18x = 888,201.49
5. Step 5: Solve for x
   x = 888,201.49/1,022.18
6. Step 6: Final answer
   x = 868.93