Finding the Fourth Proportional to 1,564.56, 2,158.92 and 865.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.56 : 2,158.92 = 865.89 : x
2. Step 2: Convert to fraction form
   1,564.56/2,158.92 = 865.89/x
3. Step 3: Cross multiply
   1,564.56x = 2,158.92 × 865.89
4. Step 4: Simplify right side
   1,564.56x = 1,869,387.24
5. Step 5: Solve for x
   x = 1,869,387.24/1,564.56
6. Step 6: Final answer
   x = 1,194.83