Finding the Fourth Proportional to 9,662.06, 14,496.74 and 3,421.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.06 : 14,496.74 = 3,421.82 : x
2. Step 2: Convert to fraction form
   9,662.06/14,496.74 = 3,421.82/x
3. Step 3: Cross multiply
   9,662.06x = 14,496.74 × 3,421.82
4. Step 4: Simplify right side
   9,662.06x = 49,605,234.87
5. Step 5: Solve for x
   x = 49,605,234.87/9,662.06
6. Step 6: Final answer
   x = 5,134.02