Finding the Fourth Proportional to 9,620.48, 14,429.10 and 3,778.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,620.48 : 14,429.10 = 3,778.76 : x
2. Step 2: Convert to fraction form
   9,620.48/14,429.10 = 3,778.76/x
3. Step 3: Cross multiply
   9,620.48x = 14,429.10 × 3,778.76
4. Step 4: Simplify right side
   9,620.48x = 54,524,105.92
5. Step 5: Solve for x
   x = 54,524,105.92/9,620.48
6. Step 6: Final answer
   x = 5,667.50