Finding the Fourth Proportional to 1,182.71, 1,632.42 and 685.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.71 : 1,632.42 = 685.63 : x
2. Step 2: Convert to fraction form
   1,182.71/1,632.42 = 685.63/x
3. Step 3: Cross multiply
   1,182.71x = 1,632.42 × 685.63
4. Step 4: Simplify right side
   1,182.71x = 1,119,232.04
5. Step 5: Solve for x
   x = 1,119,232.04/1,182.71
6. Step 6: Final answer
   x = 946.33