Finding the Fourth Proportional to 9,681.69, 14,524.65 and 3,838.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,681.69 : 14,524.65 = 3,838.14 : x
2. Step 2: Convert to fraction form
   9,681.69/14,524.65 = 3,838.14/x
3. Step 3: Cross multiply
   9,681.69x = 14,524.65 × 3,838.14
4. Step 4: Simplify right side
   9,681.69x = 55,747,640.15
5. Step 5: Solve for x
   x = 55,747,640.15/9,681.69
6. Step 6: Final answer
   x = 5,758.05