Finding the Fourth Proportional to 1,565.46, 2,160.27 and 866.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.46 : 2,160.27 = 866.79 : x
2. Step 2: Convert to fraction form
   1,565.46/2,160.27 = 866.79/x
3. Step 3: Cross multiply
   1,565.46x = 2,160.27 × 866.79
4. Step 4: Simplify right side
   1,565.46x = 1,872,500.43
5. Step 5: Solve for x
   x = 1,872,500.43/1,565.46
6. Step 6: Final answer
   x = 1,196.13