Finding the Fourth Proportional to 1,153.82, 1,592.31 and 629.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.82 : 1,592.31 = 629.90 : x
2. Step 2: Convert to fraction form
   1,153.82/1,592.31 = 629.90/x
3. Step 3: Cross multiply
   1,153.82x = 1,592.31 × 629.90
4. Step 4: Simplify right side
   1,153.82x = 1,002,996.07
5. Step 5: Solve for x
   x = 1,002,996.07/1,153.82
6. Step 6: Final answer
   x = 869.28