Finding the Fourth Proportional to 1,564.69, 2,159.27 and 866.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.69 : 2,159.27 = 866.07 : x
2. Step 2: Convert to fraction form
   1,564.69/2,159.27 = 866.07/x
3. Step 3: Cross multiply
   1,564.69x = 2,159.27 × 866.07
4. Step 4: Simplify right side
   1,564.69x = 1,870,078.97
5. Step 5: Solve for x
   x = 1,870,078.97/1,564.69
6. Step 6: Final answer
   x = 1,195.18