Finding the Fourth Proportional to 10,105.82, 15,162.34 and 5,177.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.82 : 15,162.34 = 5,177.78 : x
2. Step 2: Convert to fraction form
   10,105.82/15,162.34 = 5,177.78/x
3. Step 3: Cross multiply
   10,105.82x = 15,162.34 × 5,177.78
4. Step 4: Simplify right side
   10,105.82x = 78,507,260.81
5. Step 5: Solve for x
   x = 78,507,260.81/10,105.82
6. Step 6: Final answer
   x = 7,768.52