Finding the Fourth Proportional to 10,105.27, 15,161.06 and 5,178.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.27 : 15,161.06 = 5,178.38 : x
2. Step 2: Convert to fraction form
   10,105.27/15,161.06 = 5,178.38/x
3. Step 3: Cross multiply
   10,105.27x = 15,161.06 × 5,178.38
4. Step 4: Simplify right side
   10,105.27x = 78,509,667.02
5. Step 5: Solve for x
   x = 78,509,667.02/10,105.27
6. Step 6: Final answer
   x = 7,769.18