Finding the Fourth Proportional to 10,462.82, 14,438.78 and 5,747.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.82 : 14,438.78 = 5,747.20 : x
2. Step 2: Convert to fraction form
   10,462.82/14,438.78 = 5,747.20/x
3. Step 3: Cross multiply
   10,462.82x = 14,438.78 × 5,747.20
4. Step 4: Simplify right side
   10,462.82x = 82,982,556.42
5. Step 5: Solve for x
   x = 82,982,556.42/10,462.82
6. Step 6: Final answer
   x = 7,931.18