Finding the Fourth Proportional to 9,768.54, 13,481.55 and 5,577.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.54 : 13,481.55 = 5,577.42 : x
2. Step 2: Convert to fraction form
   9,768.54/13,481.55 = 5,577.42/x
3. Step 3: Cross multiply
   9,768.54x = 13,481.55 × 5,577.42
4. Step 4: Simplify right side
   9,768.54x = 75,192,266.60
5. Step 5: Solve for x
   x = 75,192,266.60/9,768.54
6. Step 6: Final answer
   x = 7,697.39