Finding the Fourth Proportional to 1,022.83, 1,411.86 and 629.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.83 : 1,411.86 = 629.89 : x
2. Step 2: Convert to fraction form
   1,022.83/1,411.86 = 629.89/x
3. Step 3: Cross multiply
   1,022.83x = 1,411.86 × 629.89
4. Step 4: Simplify right side
   1,022.83x = 889,316.50
5. Step 5: Solve for x
   x = 889,316.50/1,022.83
6. Step 6: Final answer
   x = 869.47