Finding the Fourth Proportional to 1,564.86, 2,159.53 and 866.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.86 : 2,159.53 = 866.26 : x
2. Step 2: Convert to fraction form
   1,564.86/2,159.53 = 866.26/x
3. Step 3: Cross multiply
   1,564.86x = 2,159.53 × 866.26
4. Step 4: Simplify right side
   1,564.86x = 1,870,714.46
5. Step 5: Solve for x
   x = 1,870,714.46/1,564.86
6. Step 6: Final answer
   x = 1,195.45