Finding the Fourth Proportional to 1,022.41, 1,410.98 and 629.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.41 : 1,410.98 = 629.46 : x
2. Step 2: Convert to fraction form
   1,022.41/1,410.98 = 629.46/x
3. Step 3: Cross multiply
   1,022.41x = 1,410.98 × 629.46
4. Step 4: Simplify right side
   1,022.41x = 888,155.47
5. Step 5: Solve for x
   x = 888,155.47/1,022.41
6. Step 6: Final answer
   x = 868.69