Finding the Fourth Proportional to 1,153.84, 1,592.29 and 629.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.84 : 1,592.29 = 629.86 : x
2. Step 2: Convert to fraction form
   1,153.84/1,592.29 = 629.86/x
3. Step 3: Cross multiply
   1,153.84x = 1,592.29 × 629.86
4. Step 4: Simplify right side
   1,153.84x = 1,002,919.78
5. Step 5: Solve for x
   x = 1,002,919.78/1,153.84
6. Step 6: Final answer
   x = 869.20