Finding the Fourth Proportional to 1,183.06, 1,632.53 and 685.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,183.06 : 1,632.53 = 685.61 : x
2. Step 2: Convert to fraction form
   1,183.06/1,632.53 = 685.61/x
3. Step 3: Cross multiply
   1,183.06x = 1,632.53 × 685.61
4. Step 4: Simplify right side
   1,183.06x = 1,119,278.89
5. Step 5: Solve for x
   x = 1,119,278.89/1,183.06
6. Step 6: Final answer
   x = 946.09