Finding the Fourth Proportional to 9,667.71, 14,508.94 and 6,856.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.71 : 14,508.94 = 6,856.29 : x
2. Step 2: Convert to fraction form
   9,667.71/14,508.94 = 6,856.29/x
3. Step 3: Cross multiply
   9,667.71x = 14,508.94 × 6,856.29
4. Step 4: Simplify right side
   9,667.71x = 99,477,500.23
5. Step 5: Solve for x
   x = 99,477,500.23/9,667.71
6. Step 6: Final answer
   x = 10,289.67