Finding the Fourth Proportional to 3,839.80, 5,760.78 and 3,561.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,839.80 : 5,760.78 = 3,561.16 : x
2. Step 2: Convert to fraction form
   3,839.80/5,760.78 = 3,561.16/x
3. Step 3: Cross multiply
   3,839.80x = 5,760.78 × 3,561.16
4. Step 4: Simplify right side
   3,839.80x = 20,515,059.30
5. Step 5: Solve for x
   x = 20,515,059.30/3,839.80
6. Step 6: Final answer
   x = 5,342.74