Finding the Fourth Proportional to 3,819.42, 5,724.72 and 3,778.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,819.42 : 5,724.72 = 3,778.38 : x
2. Step 2: Convert to fraction form
   3,819.42/5,724.72 = 3,778.38/x
3. Step 3: Cross multiply
   3,819.42x = 5,724.72 × 3,778.38
4. Step 4: Simplify right side
   3,819.42x = 21,630,167.55
5. Step 5: Solve for x
   x = 21,630,167.55/3,819.42
6. Step 6: Final answer
   x = 5,663.21