Finding the Fourth Proportional to 1,153.46, 1,591.77 and 629.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.46 : 1,591.77 = 629.49 : x
2. Step 2: Convert to fraction form
   1,153.46/1,591.77 = 629.49/x
3. Step 3: Cross multiply
   1,153.46x = 1,591.77 × 629.49
4. Step 4: Simplify right side
   1,153.46x = 1,002,003.30
5. Step 5: Solve for x
   x = 1,002,003.30/1,153.46
6. Step 6: Final answer
   x = 868.70