Finding the Fourth Proportional to 5,343.78, 7,371.82 and 3,768.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,343.78 : 7,371.82 = 3,768.42 : x
2. Step 2: Convert to fraction form
   5,343.78/7,371.82 = 3,768.42/x
3. Step 3: Cross multiply
   5,343.78x = 7,371.82 × 3,768.42
4. Step 4: Simplify right side
   5,343.78x = 27,780,113.92
5. Step 5: Solve for x
   x = 27,780,113.92/5,343.78
6. Step 6: Final answer
   x = 5,198.59