Finding the Fourth Proportional to 5,383.86, 8,074.44 and 3,819.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,383.86 : 8,074.44 = 3,819.30 : x
2. Step 2: Convert to fraction form
   5,383.86/8,074.44 = 3,819.30/x
3. Step 3: Cross multiply
   5,383.86x = 8,074.44 × 3,819.30
4. Step 4: Simplify right side
   5,383.86x = 30,838,708.69
5. Step 5: Solve for x
   x = 30,838,708.69/5,383.86
6. Step 6: Final answer
   x = 5,727.99