Finding the Fourth Proportional to 7,760.28, 10,709.62 and 4,223.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,760.28 : 10,709.62 = 4,223.42 : x
2. Step 2: Convert to fraction form
   7,760.28/10,709.62 = 4,223.42/x
3. Step 3: Cross multiply
   7,760.28x = 10,709.62 × 4,223.42
4. Step 4: Simplify right side
   7,760.28x = 45,231,223.30
5. Step 5: Solve for x
   x = 45,231,223.30/7,760.28
6. Step 6: Final answer
   x = 5,828.56