Finding the Fourth Proportional to 1,564.79, 2,159.52 and 866.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.79 : 2,159.52 = 866.21 : x
2. Step 2: Convert to fraction form
   1,564.79/2,159.52 = 866.21/x
3. Step 3: Cross multiply
   1,564.79x = 2,159.52 × 866.21
4. Step 4: Simplify right side
   1,564.79x = 1,870,597.82
5. Step 5: Solve for x
   x = 1,870,597.82/1,564.79
6. Step 6: Final answer
   x = 1,195.43