Finding the Fourth Proportional to 1,182.77, 1,632.15 and 685.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.77 : 1,632.15 = 685.37 : x
2. Step 2: Convert to fraction form
   1,182.77/1,632.15 = 685.37/x
3. Step 3: Cross multiply
   1,182.77x = 1,632.15 × 685.37
4. Step 4: Simplify right side
   1,182.77x = 1,118,626.65
5. Step 5: Solve for x
   x = 1,118,626.65/1,182.77
6. Step 6: Final answer
   x = 945.77