Finding the Fourth Proportional to 1,153.80, 1,592.24 and 629.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.80 : 1,592.24 = 629.83 : x
2. Step 2: Convert to fraction form
   1,153.80/1,592.24 = 629.83/x
3. Step 3: Cross multiply
   1,153.80x = 1,592.24 × 629.83
4. Step 4: Simplify right side
   1,153.80x = 1,002,840.52
5. Step 5: Solve for x
   x = 1,002,840.52/1,153.80
6. Step 6: Final answer
   x = 869.16