Finding the Fourth Proportional to 1,153.71, 1,592.15 and 629.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.71 : 1,592.15 = 629.78 : x
2. Step 2: Convert to fraction form
   1,153.71/1,592.15 = 629.78/x
3. Step 3: Cross multiply
   1,153.71x = 1,592.15 × 629.78
4. Step 4: Simplify right side
   1,153.71x = 1,002,693.12
5. Step 5: Solve for x
   x = 1,002,693.12/1,153.71
6. Step 6: Final answer
   x = 869.10