Finding the Fourth Proportional to 1,456.08, 2,009.25 and 866.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.08 : 2,009.25 = 866.76 : x
2. Step 2: Convert to fraction form
   1,456.08/2,009.25 = 866.76/x
3. Step 3: Cross multiply
   1,456.08x = 2,009.25 × 866.76
4. Step 4: Simplify right side
   1,456.08x = 1,741,537.53
5. Step 5: Solve for x
   x = 1,741,537.53/1,456.08
6. Step 6: Final answer
   x = 1,196.05