Finding the Fourth Proportional to 3,792.38, 5,698.83 and 3,578.54

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792.38 : 5,698.83 = 3,578.54 : x
2. Step 2: Convert to fraction form
   3,792.38/5,698.83 = 3,578.54/x
3. Step 3: Cross multiply
   3,792.38x = 5,698.83 × 3,578.54
4. Step 4: Simplify right side
   3,792.38x = 20,393,491.11
5. Step 5: Solve for x
   x = 20,393,491.11/3,792.38
6. Step 6: Final answer
   x = 5,377.49