Finding the Fourth Proportional to 9,662.54, 14,493.69 and 3,819.11

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.54 : 14,493.69 = 3,819.11 : x
2. Step 2: Convert to fraction form
   9,662.54/14,493.69 = 3,819.11/x
3. Step 3: Cross multiply
   9,662.54x = 14,493.69 × 3,819.11
4. Step 4: Simplify right side
   9,662.54x = 55,352,923.95
5. Step 5: Solve for x
   x = 55,352,923.95/9,662.54
6. Step 6: Final answer
   x = 5,728.61