Finding the Fourth Proportional to 5,727.78, 7,899.84 and 3,838.73

Step by Step Solution

1. Step 1: Write the proportion equation
   5,727.78 : 7,899.84 = 3,838.73 : x
2. Step 2: Convert to fraction form
   5,727.78/7,899.84 = 3,838.73/x
3. Step 3: Cross multiply
   5,727.78x = 7,899.84 × 3,838.73
4. Step 4: Simplify right side
   5,727.78x = 30,325,313.30
5. Step 5: Solve for x
   x = 30,325,313.30/5,727.78
6. Step 6: Final answer
   x = 5,294.43