Finding the Fourth Proportional to 1,002.50, 1,383.56 and 629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.50 : 1,383.56 = 629.50 : x
2. Step 2: Convert to fraction form
   1,002.50/1,383.56 = 629.50/x
3. Step 3: Cross multiply
   1,002.50x = 1,383.56 × 629.50
4. Step 4: Simplify right side
   1,002.50x = 870,951.02
5. Step 5: Solve for x
   x = 870,951.02/1,002.50
6. Step 6: Final answer
   x = 868.78