Finding the Fourth Proportional to 1,182.83, 1,632.54 and 685.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.83 : 1,632.54 = 685.58 : x
2. Step 2: Convert to fraction form
   1,182.83/1,632.54 = 685.58/x
3. Step 3: Cross multiply
   1,182.83x = 1,632.54 × 685.58
4. Step 4: Simplify right side
   1,182.83x = 1,119,236.77
5. Step 5: Solve for x
   x = 1,119,236.77/1,182.83
6. Step 6: Final answer
   x = 946.24