Finding the Fourth Proportional to 1,022.82, 1,411.61 and 629.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.82 : 1,411.61 = 629.84 : x
2. Step 2: Convert to fraction form
   1,022.82/1,411.61 = 629.84/x
3. Step 3: Cross multiply
   1,022.82x = 1,411.61 × 629.84
4. Step 4: Simplify right side
   1,022.82x = 889,078.24
5. Step 5: Solve for x
   x = 889,078.24/1,022.82
6. Step 6: Final answer
   x = 869.24