Finding the Fourth Proportional to 7,005.20, 9,667.02 and 3,861.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005.20 : 9,667.02 = 3,861.38 : x
2. Step 2: Convert to fraction form
   7,005.20/9,667.02 = 3,861.38/x
3. Step 3: Cross multiply
   7,005.20x = 9,667.02 × 3,861.38
4. Step 4: Simplify right side
   7,005.20x = 37,328,037.69
5. Step 5: Solve for x
   x = 37,328,037.69/7,005.20
6. Step 6: Final answer
   x = 5,328.62