Finding the Fourth Proportional to 1,182.76, 1,632.30 and 685.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.76 : 1,632.30 = 685.57 : x
2. Step 2: Convert to fraction form
   1,182.76/1,632.30 = 685.57/x
3. Step 3: Cross multiply
   1,182.76x = 1,632.30 × 685.57
4. Step 4: Simplify right side
   1,182.76x = 1,119,052.48
5. Step 5: Solve for x
   x = 1,119,052.48/1,182.76
6. Step 6: Final answer
   x = 946.14