Finding the Fourth Proportional to 1,456.77, 2,009.75 and 866.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.77 : 2,009.75 = 866.73 : x
2. Step 2: Convert to fraction form
   1,456.77/2,009.75 = 866.73/x
3. Step 3: Cross multiply
   1,456.77x = 2,009.75 × 866.73
4. Step 4: Simplify right side
   1,456.77x = 1,741,906.28
5. Step 5: Solve for x
   x = 1,741,906.28/1,456.77
6. Step 6: Final answer
   x = 1,195.73