Finding the Fourth Proportional to 1,564.95, 2,159.62 and 866.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.95 : 2,159.62 = 866.33 : x
2. Step 2: Convert to fraction form
   1,564.95/2,159.62 = 866.33/x
3. Step 3: Cross multiply
   1,564.95x = 2,159.62 × 866.33
4. Step 4: Simplify right side
   1,564.95x = 1,870,938.73
5. Step 5: Solve for x
   x = 1,870,938.73/1,564.95
6. Step 6: Final answer
   x = 1,195.52