Finding the Fourth Proportional to 3,878.40, 5,819.67 and 3,669.33

Step by Step Solution

1. Step 1: Write the proportion equation
   3,878.40 : 5,819.67 = 3,669.33 : x
2. Step 2: Convert to fraction form
   3,878.40/5,819.67 = 3,669.33/x
3. Step 3: Cross multiply
   3,878.40x = 5,819.67 × 3,669.33
4. Step 4: Simplify right side
   3,878.40x = 21,354,289.72
5. Step 5: Solve for x
   x = 21,354,289.72/3,878.40
6. Step 6: Final answer
   x = 5,505.95