Finding the Fourth Proportional to 1,022.53, 1,410.51 and 629.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.53 : 1,410.51 = 629.47 : x
2. Step 2: Convert to fraction form
   1,022.53/1,410.51 = 629.47/x
3. Step 3: Cross multiply
   1,022.53x = 1,410.51 × 629.47
4. Step 4: Simplify right side
   1,022.53x = 887,873.73
5. Step 5: Solve for x
   x = 887,873.73/1,022.53
6. Step 6: Final answer
   x = 868.31