Finding the Fourth Proportional to 3,896.28, 5,845.50 and 2,166.12

Step by Step Solution

1. Step 1: Write the proportion equation
   3,896.28 : 5,845.50 = 2,166.12 : x
2. Step 2: Convert to fraction form
   3,896.28/5,845.50 = 2,166.12/x
3. Step 3: Cross multiply
   3,896.28x = 5,845.50 × 2,166.12
4. Step 4: Simplify right side
   3,896.28x = 12,662,054.46
5. Step 5: Solve for x
   x = 12,662,054.46/3,896.28
6. Step 6: Final answer
   x = 3,249.78