Finding the Fourth Proportional to 10,424.92, 14,386.14 and 5,709.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.92 : 14,386.14 = 5,709.40 : x
2. Step 2: Convert to fraction form
   10,424.92/14,386.14 = 5,709.40/x
3. Step 3: Cross multiply
   10,424.92x = 14,386.14 × 5,709.40
4. Step 4: Simplify right side
   10,424.92x = 82,136,227.72
5. Step 5: Solve for x
   x = 82,136,227.72/10,424.92
6. Step 6: Final answer
   x = 7,878.84