Finding the Fourth Proportional to 3,834.78, 5,744.61 and 3,564.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.78 : 5,744.61 = 3,564.78 : x
2. Step 2: Convert to fraction form
   3,834.78/5,744.61 = 3,564.78/x
3. Step 3: Cross multiply
   3,834.78x = 5,744.61 × 3,564.78
4. Step 4: Simplify right side
   3,834.78x = 20,478,270.84
5. Step 5: Solve for x
   x = 20,478,270.84/3,834.78
6. Step 6: Final answer
   x = 5,340.14