Finding the Fourth Proportional to 1,456.05, 2,009.40 and 826.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.05 : 2,009.40 = 826.57 : x
2. Step 2: Convert to fraction form
   1,456.05/2,009.40 = 826.57/x
3. Step 3: Cross multiply
   1,456.05x = 2,009.40 × 826.57
4. Step 4: Simplify right side
   1,456.05x = 1,660,909.76
5. Step 5: Solve for x
   x = 1,660,909.76/1,456.05
6. Step 6: Final answer
   x = 1,140.70