Finding the Fourth Proportional to 9,688.69, 14,540.37 and 3,845.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.69 : 14,540.37 = 3,845.80 : x
2. Step 2: Convert to fraction form
   9,688.69/14,540.37 = 3,845.80/x
3. Step 3: Cross multiply
   9,688.69x = 14,540.37 × 3,845.80
4. Step 4: Simplify right side
   9,688.69x = 55,919,354.95
5. Step 5: Solve for x
   x = 55,919,354.95/9,688.69
6. Step 6: Final answer
   x = 5,771.61