Finding the Fourth Proportional to 1,456.10, 2,009.34 and 826.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.10 : 2,009.34 = 826.66 : x
2. Step 2: Convert to fraction form
   1,456.10/2,009.34 = 826.66/x
3. Step 3: Cross multiply
   1,456.10x = 2,009.34 × 826.66
4. Step 4: Simplify right side
   1,456.10x = 1,661,041.00
5. Step 5: Solve for x
   x = 1,661,041.00/1,456.10
6. Step 6: Final answer
   x = 1,140.75