Finding the Fourth Proportional to 1,456.35, 2,009.61 and 866.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.35 : 2,009.61 = 866.81 : x
2. Step 2: Convert to fraction form
   1,456.35/2,009.61 = 866.81/x
3. Step 3: Cross multiply
   1,456.35x = 2,009.61 × 866.81
4. Step 4: Simplify right side
   1,456.35x = 1,741,950.04
5. Step 5: Solve for x
   x = 1,741,950.04/1,456.35
6. Step 6: Final answer
   x = 1,196.11