Finding the Fourth Proportional to 1,564.96, 2,159.68 and 866.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.96 : 2,159.68 = 866.30 : x
2. Step 2: Convert to fraction form
   1,564.96/2,159.68 = 866.30/x
3. Step 3: Cross multiply
   1,564.96x = 2,159.68 × 866.30
4. Step 4: Simplify right side
   1,564.96x = 1,870,930.78
5. Step 5: Solve for x
   x = 1,870,930.78/1,564.96
6. Step 6: Final answer
   x = 1,195.51