Finding the Fourth Proportional to 1,153.59, 1,592.00 and 629.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.59 : 1,592.00 = 629.66 : x
2. Step 2: Convert to fraction form
   1,153.59/1,592.00 = 629.66/x
3. Step 3: Cross multiply
   1,153.59x = 1,592.00 × 629.66
4. Step 4: Simplify right side
   1,153.59x = 1,002,407.61
5. Step 5: Solve for x
   x = 1,002,407.61/1,153.59
6. Step 6: Final answer
   x = 868.95