Finding the Fourth Proportional to 1,150.92, 1,588.32 and 685.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.92 : 1,588.32 = 685.20 : x
2. Step 2: Convert to fraction form
   1,150.92/1,588.32 = 685.20/x
3. Step 3: Cross multiply
   1,150.92x = 1,588.32 × 685.20
4. Step 4: Simplify right side
   1,150.92x = 1,088,316.86
5. Step 5: Solve for x
   x = 1,088,316.86/1,150.92
6. Step 6: Final answer
   x = 945.61