Finding the Fourth Proportional to 7,697.48, 11,540.83 and 3,940.02

Step by Step Solution

1. Step 1: Write the proportion equation
   7,697.48 : 11,540.83 = 3,940.02 : x
2. Step 2: Convert to fraction form
   7,697.48/11,540.83 = 3,940.02/x
3. Step 3: Cross multiply
   7,697.48x = 11,540.83 × 3,940.02
4. Step 4: Simplify right side
   7,697.48x = 45,471,066.10
5. Step 5: Solve for x
   x = 45,471,066.10/7,697.48
6. Step 6: Final answer
   x = 5,907.27