Finding the Fourth Proportional to 1,153.54, 1,591.69 and 649.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.54 : 1,591.69 = 649.33 : x
2. Step 2: Convert to fraction form
   1,153.54/1,591.69 = 649.33/x
3. Step 3: Cross multiply
   1,153.54x = 1,591.69 × 649.33
4. Step 4: Simplify right side
   1,153.54x = 1,033,520.86
5. Step 5: Solve for x
   x = 1,033,520.86/1,153.54
6. Step 6: Final answer
   x = 895.96