Finding the Fourth Proportional to 10,105.92, 13,940.82 and 8,219.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.92 : 13,940.82 = 8,219.52 : x
2. Step 2: Convert to fraction form
   10,105.92/13,940.82 = 8,219.52/x
3. Step 3: Cross multiply
   10,105.92x = 13,940.82 × 8,219.52
4. Step 4: Simplify right side
   10,105.92x = 114,586,848.81
5. Step 5: Solve for x
   x = 114,586,848.81/10,105.92
6. Step 6: Final answer
   x = 11,338.59