Finding the Fourth Proportional to 1,153.60, 1,591.89 and 629.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.60 : 1,591.89 = 629.62 : x
2. Step 2: Convert to fraction form
   1,153.60/1,591.89 = 629.62/x
3. Step 3: Cross multiply
   1,153.60x = 1,591.89 × 629.62
4. Step 4: Simplify right side
   1,153.60x = 1,002,285.78
5. Step 5: Solve for x
   x = 1,002,285.78/1,153.60
6. Step 6: Final answer
   x = 868.83