Finding the Fourth Proportional to 9,538.18, 14,308.82 and 2,965.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.18 : 14,308.82 = 2,965.89 : x
2. Step 2: Convert to fraction form
   9,538.18/14,308.82 = 2,965.89/x
3. Step 3: Cross multiply
   9,538.18x = 14,308.82 × 2,965.89
4. Step 4: Simplify right side
   9,538.18x = 42,438,386.15
5. Step 5: Solve for x
   x = 42,438,386.15/9,538.18
6. Step 6: Final answer
   x = 4,449.32