Finding the Fourth Proportional to 1,565.17, 2,159.98 and 866.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.17 : 2,159.98 = 866.54 : x
2. Step 2: Convert to fraction form
   1,565.17/2,159.98 = 866.54/x
3. Step 3: Cross multiply
   1,565.17x = 2,159.98 × 866.54
4. Step 4: Simplify right side
   1,565.17x = 1,871,712.30
5. Step 5: Solve for x
   x = 1,871,712.30/1,565.17
6. Step 6: Final answer
   x = 1,195.85