Finding the Fourth Proportional to 1,456.32, 2,182.56 and 806.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.32 : 2,182.56 = 806.64 : x
2. Step 2: Convert to fraction form
   1,456.32/2,182.56 = 806.64/x
3. Step 3: Cross multiply
   1,456.32x = 2,182.56 × 806.64
4. Step 4: Simplify right side
   1,456.32x = 1,760,540.20
5. Step 5: Solve for x
   x = 1,760,540.20/1,456.32
6. Step 6: Final answer
   x = 1,208.90