Finding the Fourth Proportional to 13,906.10, 19,183.78 and 9,124.09

Step by Step Solution

1. Step 1: Write the proportion equation
   13,906.10 : 19,183.78 = 9,124.09 : x
2. Step 2: Convert to fraction form
   13,906.10/19,183.78 = 9,124.09/x
3. Step 3: Cross multiply
   13,906.10x = 19,183.78 × 9,124.09
4. Step 4: Simplify right side
   13,906.10x = 175,034,498.71
5. Step 5: Solve for x
   x = 175,034,498.71/13,906.10
6. Step 6: Final answer
   x = 12,586.88