Finding the Fourth Proportional to 1,564.89, 2,159.33 and 866.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.89 : 2,159.33 = 866.31 : x
2. Step 2: Convert to fraction form
   1,564.89/2,159.33 = 866.31/x
3. Step 3: Cross multiply
   1,564.89x = 2,159.33 × 866.31
4. Step 4: Simplify right side
   1,564.89x = 1,870,649.17
5. Step 5: Solve for x
   x = 1,870,649.17/1,564.89
6. Step 6: Final answer
   x = 1,195.39