Finding the Fourth Proportional to 1,182.64, 1,632.04 and 685.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.64 : 1,632.04 = 685.37 : x
2. Step 2: Convert to fraction form
   1,182.64/1,632.04 = 685.37/x
3. Step 3: Cross multiply
   1,182.64x = 1,632.04 × 685.37
4. Step 4: Simplify right side
   1,182.64x = 1,118,547.83
5. Step 5: Solve for x
   x = 1,118,547.83/1,182.64
6. Step 6: Final answer
   x = 945.81