Finding the Fourth Proportional to 9,664.10, 14,495.69 and 3,424.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.10 : 14,495.69 = 3,424.01 : x
2. Step 2: Convert to fraction form
   9,664.10/14,495.69 = 3,424.01/x
3. Step 3: Cross multiply
   9,664.10x = 14,495.69 × 3,424.01
4. Step 4: Simplify right side
   9,664.10x = 49,633,297.92
5. Step 5: Solve for x
   x = 49,633,297.92/9,664.10
6. Step 6: Final answer
   x = 5,135.85