Finding the Fourth Proportional to 9,401.46, 14,099.87 and 3,856.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.46 : 14,099.87 = 3,856.38 : x
2. Step 2: Convert to fraction form
   9,401.46/14,099.87 = 3,856.38/x
3. Step 3: Cross multiply
   9,401.46x = 14,099.87 × 3,856.38
4. Step 4: Simplify right side
   9,401.46x = 54,374,492.75
5. Step 5: Solve for x
   x = 54,374,492.75/9,401.46
6. Step 6: Final answer
   x = 5,783.62