Finding the Fourth Proportional to 1,564.71, 2,159.25 and 866.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.71 : 2,159.25 = 866.09 : x
2. Step 2: Convert to fraction form
   1,564.71/2,159.25 = 866.09/x
3. Step 3: Cross multiply
   1,564.71x = 2,159.25 × 866.09
4. Step 4: Simplify right side
   1,564.71x = 1,870,094.04
5. Step 5: Solve for x
   x = 1,870,094.04/1,564.71
6. Step 6: Final answer
   x = 1,195.17