Finding the Fourth Proportional to 2,086.22, 2,872.86 and 1,865.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.22 : 2,872.86 = 1,865.09 : x
2. Step 2: Convert to fraction form
   2,086.22/2,872.86 = 1,865.09/x
3. Step 3: Cross multiply
   2,086.22x = 2,872.86 × 1,865.09
4. Step 4: Simplify right side
   2,086.22x = 5,358,142.46
5. Step 5: Solve for x
   x = 5,358,142.46/2,086.22
6. Step 6: Final answer
   x = 2,568.35