Finding the Fourth Proportional to 7,760.78, 10,709.25 and 5,408

Step by Step Solution

1. Step 1: Write the proportion equation
   7,760.78 : 10,709.25 = 5,408 : x
2. Step 2: Convert to fraction form
   7,760.78/10,709.25 = 5,408/x
3. Step 3: Cross multiply
   7,760.78x = 10,709.25 × 5,408
4. Step 4: Simplify right side
   7,760.78x = 57,915,624
5. Step 5: Solve for x
   x = 57,915,624/7,760.78
6. Step 6: Final answer
   x = 7,462.60