Finding the Fourth Proportional to 1,456.54, 2,009.72 and 866.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.54 : 2,009.72 = 866.96 : x
2. Step 2: Convert to fraction form
   1,456.54/2,009.72 = 866.96/x
3. Step 3: Cross multiply
   1,456.54x = 2,009.72 × 866.96
4. Step 4: Simplify right side
   1,456.54x = 1,742,342.52
5. Step 5: Solve for x
   x = 1,742,342.52/1,456.54
6. Step 6: Final answer
   x = 1,196.22