Finding the Fourth Proportional to 1,564.05, 2,158.34 and 865.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.05 : 2,158.34 = 865.38 : x
2. Step 2: Convert to fraction form
   1,564.05/2,158.34 = 865.38/x
3. Step 3: Cross multiply
   1,564.05x = 2,158.34 × 865.38
4. Step 4: Simplify right side
   1,564.05x = 1,867,779.94
5. Step 5: Solve for x
   x = 1,867,779.94/1,564.05
6. Step 6: Final answer
   x = 1,194.19