Finding the Fourth Proportional to 10,424.88, 14,386.41 and 5,709.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.88 : 14,386.41 = 5,709.60 : x
2. Step 2: Convert to fraction form
   10,424.88/14,386.41 = 5,709.60/x
3. Step 3: Cross multiply
   10,424.88x = 14,386.41 × 5,709.60
4. Step 4: Simplify right side
   10,424.88x = 82,140,646.54
5. Step 5: Solve for x
   x = 82,140,646.54/10,424.88
6. Step 6: Final answer
   x = 7,879.29