Finding the Fourth Proportional to 3,906.56, 5,864.52 and 3,288.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,906.56 : 5,864.52 = 3,288.80 : x
2. Step 2: Convert to fraction form
   3,906.56/5,864.52 = 3,288.80/x
3. Step 3: Cross multiply
   3,906.56x = 5,864.52 × 3,288.80
4. Step 4: Simplify right side
   3,906.56x = 19,287,233.38
5. Step 5: Solve for x
   x = 19,287,233.38/3,906.56
6. Step 6: Final answer
   x = 4,937.14