Finding the Fourth Proportional to 9,685.76, 14,531.70 and 3,839

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.76 : 14,531.70 = 3,839 : x
2. Step 2: Convert to fraction form
   9,685.76/14,531.70 = 3,839/x
3. Step 3: Cross multiply
   9,685.76x = 14,531.70 × 3,839
4. Step 4: Simplify right side
   9,685.76x = 55,787,196.30
5. Step 5: Solve for x
   x = 55,787,196.30/9,685.76
6. Step 6: Final answer
   x = 5,759.71