Finding the Fourth Proportional to 1,153.50, 1,591.86 and 629.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.50 : 1,591.86 = 629.58 : x
2. Step 2: Convert to fraction form
   1,153.50/1,591.86 = 629.58/x
3. Step 3: Cross multiply
   1,153.50x = 1,591.86 × 629.58
4. Step 4: Simplify right side
   1,153.50x = 1,002,203.22
5. Step 5: Solve for x
   x = 1,002,203.22/1,153.50
6. Step 6: Final answer
   x = 868.84