Finding the Fourth Proportional to 10,424.96, 14,386.32 and 5,709.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.96 : 14,386.32 = 5,709.20 : x
2. Step 2: Convert to fraction form
   10,424.96/14,386.32 = 5,709.20/x
3. Step 3: Cross multiply
   10,424.96x = 14,386.32 × 5,709.20
4. Step 4: Simplify right side
   10,424.96x = 82,134,378.14
5. Step 5: Solve for x
   x = 82,134,378.14/10,424.96
6. Step 6: Final answer
   x = 7,878.63