Finding the Fourth Proportional to 10,429.24, 15,642 and 5,162.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.24 : 15,642 = 5,162.56 : x
2. Step 2: Convert to fraction form
   10,429.24/15,642 = 5,162.56/x
3. Step 3: Cross multiply
   10,429.24x = 15,642 × 5,162.56
4. Step 4: Simplify right side
   10,429.24x = 80,752,763.52
5. Step 5: Solve for x
   x = 80,752,763.52/10,429.24
6. Step 6: Final answer
   x = 7,742.92