Finding the Fourth Proportional to 9,538.92, 14,310.72 and 2,965.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.92 : 14,310.72 = 2,965.68 : x
2. Step 2: Convert to fraction form
   9,538.92/14,310.72 = 2,965.68/x
3. Step 3: Cross multiply
   9,538.92x = 14,310.72 × 2,965.68
4. Step 4: Simplify right side
   9,538.92x = 42,441,016.09
5. Step 5: Solve for x
   x = 42,441,016.09/9,538.92
6. Step 6: Final answer
   x = 4,449.25