Finding the Fourth Proportional to 3,788.78, 5,674.32 and 3,657.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,788.78 : 5,674.32 = 3,657.42 : x
2. Step 2: Convert to fraction form
   3,788.78/5,674.32 = 3,657.42/x
3. Step 3: Cross multiply
   3,788.78x = 5,674.32 × 3,657.42
4. Step 4: Simplify right side
   3,788.78x = 20,753,371.45
5. Step 5: Solve for x
   x = 20,753,371.45/3,788.78
6. Step 6: Final answer
   x = 5,477.59