Finding the Fourth Proportional to 1,564.16, 2,158.41 and 865.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.16 : 2,158.41 = 865.52 : x
2. Step 2: Convert to fraction form
   1,564.16/2,158.41 = 865.52/x
3. Step 3: Cross multiply
   1,564.16x = 2,158.41 × 865.52
4. Step 4: Simplify right side
   1,564.16x = 1,868,147.02
5. Step 5: Solve for x
   x = 1,868,147.02/1,564.16
6. Step 6: Final answer
   x = 1,194.35