Finding the Fourth Proportional to 9,119.69, 13,683.60 and 5,224.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,119.69 : 13,683.60 = 5,224.10 : x
2. Step 2: Convert to fraction form
   9,119.69/13,683.60 = 5,224.10/x
3. Step 3: Cross multiply
   9,119.69x = 13,683.60 × 5,224.10
4. Step 4: Simplify right side
   9,119.69x = 71,484,426.34
5. Step 5: Solve for x
   x = 71,484,426.34/9,119.69
6. Step 6: Final answer
   x = 7,838.47