Finding the Fourth Proportional to 2,857.56, 3,944.71 and 1,678.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,857.56 : 3,944.71 = 1,678.71 : x
2. Step 2: Convert to fraction form
   2,857.56/3,944.71 = 1,678.71/x
3. Step 3: Cross multiply
   2,857.56x = 3,944.71 × 1,678.71
4. Step 4: Simplify right side
   2,857.56x = 6,622,024.12
5. Step 5: Solve for x
   x = 6,622,024.12/2,857.56
6. Step 6: Final answer
   x = 2,317.37