Finding the Fourth Proportional to 1,564.98, 2,159.64 and 866.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.98 : 2,159.64 = 866.34 : x
2. Step 2: Convert to fraction form
   1,564.98/2,159.64 = 866.34/x
3. Step 3: Cross multiply
   1,564.98x = 2,159.64 × 866.34
4. Step 4: Simplify right side
   1,564.98x = 1,870,982.52
5. Step 5: Solve for x
   x = 1,870,982.52/1,564.98
6. Step 6: Final answer
   x = 1,195.53