Finding the Fourth Proportional to 3,904.56, 5,856.96 and 3,564.48

Step by Step Solution

1. Step 1: Write the proportion equation
   3,904.56 : 5,856.96 = 3,564.48 : x
2. Step 2: Convert to fraction form
   3,904.56/5,856.96 = 3,564.48/x
3. Step 3: Cross multiply
   3,904.56x = 5,856.96 × 3,564.48
4. Step 4: Simplify right side
   3,904.56x = 20,877,016.78
5. Step 5: Solve for x
   x = 20,877,016.78/3,904.56
6. Step 6: Final answer
   x = 5,346.83