Finding the Fourth Proportional to 8,105.57, 12,164.28 and 5,338.10

Step by Step Solution

1. Step 1: Write the proportion equation
   8,105.57 : 12,164.28 = 5,338.10 : x
2. Step 2: Convert to fraction form
   8,105.57/12,164.28 = 5,338.10/x
3. Step 3: Cross multiply
   8,105.57x = 12,164.28 × 5,338.10
4. Step 4: Simplify right side
   8,105.57x = 64,934,153.46
5. Step 5: Solve for x
   x = 64,934,153.46/8,105.57
6. Step 6: Final answer
   x = 8,011.05