Finding the Fourth Proportional to 10,424.84, 14,386.74 and 5,709.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424.84 : 14,386.74 = 5,709.20 : x
2. Step 2: Convert to fraction form
   10,424.84/14,386.74 = 5,709.20/x
3. Step 3: Cross multiply
   10,424.84x = 14,386.74 × 5,709.20
4. Step 4: Simplify right side
   10,424.84x = 82,136,776.01
5. Step 5: Solve for x
   x = 82,136,776.01/10,424.84
6. Step 6: Final answer
   x = 7,878.95