Finding the Fourth Proportional to 7,005.23, 9,667.91 and 3,861.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005.23 : 9,667.91 = 3,861.42 : x
2. Step 2: Convert to fraction form
   7,005.23/9,667.91 = 3,861.42/x
3. Step 3: Cross multiply
   7,005.23x = 9,667.91 × 3,861.42
4. Step 4: Simplify right side
   7,005.23x = 37,331,867.09
5. Step 5: Solve for x
   x = 37,331,867.09/7,005.23
6. Step 6: Final answer
   x = 5,329.14