Finding the Fourth Proportional to 1,456.32, 2,009.20 and 826.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.32 : 2,009.20 = 826.49 : x
2. Step 2: Convert to fraction form
   1,456.32/2,009.20 = 826.49/x
3. Step 3: Cross multiply
   1,456.32x = 2,009.20 × 826.49
4. Step 4: Simplify right side
   1,456.32x = 1,660,576.91
5. Step 5: Solve for x
   x = 1,660,576.91/1,456.32
6. Step 6: Final answer
   x = 1,140.25