Finding the Fourth Proportional to 1,565.43, 2,160.33 and 866.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.43 : 2,160.33 = 866.82 : x
2. Step 2: Convert to fraction form
   1,565.43/2,160.33 = 866.82/x
3. Step 3: Cross multiply
   1,565.43x = 2,160.33 × 866.82
4. Step 4: Simplify right side
   1,565.43x = 1,872,617.25
5. Step 5: Solve for x
   x = 1,872,617.25/1,565.43
6. Step 6: Final answer
   x = 1,196.23