Finding the Fourth Proportional to 1,564.50, 2,159.03 and 865.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.50 : 2,159.03 = 865.89 : x
2. Step 2: Convert to fraction form
   1,564.50/2,159.03 = 865.89/x
3. Step 3: Cross multiply
   1,564.50x = 2,159.03 × 865.89
4. Step 4: Simplify right side
   1,564.50x = 1,869,478.16
5. Step 5: Solve for x
   x = 1,869,478.16/1,564.50
6. Step 6: Final answer
   x = 1,194.94