Finding the Fourth Proportional to 1,456.12, 2,009.73 and 826.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.12 : 2,009.73 = 826.93 : x
2. Step 2: Convert to fraction form
   1,456.12/2,009.73 = 826.93/x
3. Step 3: Cross multiply
   1,456.12x = 2,009.73 × 826.93
4. Step 4: Simplify right side
   1,456.12x = 1,661,906.03
5. Step 5: Solve for x
   x = 1,661,906.03/1,456.12
6. Step 6: Final answer
   x = 1,141.32