Finding the Fourth Proportional to 2,857.27, 3,942.15 and 1,864

Step by Step Solution

1. Step 1: Write the proportion equation
   2,857.27 : 3,942.15 = 1,864 : x
2. Step 2: Convert to fraction form
   2,857.27/3,942.15 = 1,864/x
3. Step 3: Cross multiply
   2,857.27x = 3,942.15 × 1,864
4. Step 4: Simplify right side
   2,857.27x = 7,348,167.60
5. Step 5: Solve for x
   x = 7,348,167.60/2,857.27
6. Step 6: Final answer
   x = 2,571.74