Finding the Fourth Proportional to 9,401.31, 14,099.63 and 4,137.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.31 : 14,099.63 = 4,137.64 : x
2. Step 2: Convert to fraction form
   9,401.31/14,099.63 = 4,137.64/x
3. Step 3: Cross multiply
   9,401.31x = 14,099.63 × 4,137.64
4. Step 4: Simplify right side
   9,401.31x = 58,339,137.14
5. Step 5: Solve for x
   x = 58,339,137.14/9,401.31
6. Step 6: Final answer
   x = 6,205.43