Finding the Fourth Proportional to 5,608.09, 7,738.09 and 3,839.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,608.09 : 7,738.09 = 3,839.05 : x
2. Step 2: Convert to fraction form
   5,608.09/7,738.09 = 3,839.05/x
3. Step 3: Cross multiply
   5,608.09x = 7,738.09 × 3,839.05
4. Step 4: Simplify right side
   5,608.09x = 29,706,914.41
5. Step 5: Solve for x
   x = 29,706,914.41/5,608.09
6. Step 6: Final answer
   x = 5,297.15