Finding the Fourth Proportional to 10,057.82, 15,019 and 8,212.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.82 : 15,019 = 8,212.54 : x
2. Step 2: Convert to fraction form
   10,057.82/15,019 = 8,212.54/x
3. Step 3: Cross multiply
   10,057.82x = 15,019 × 8,212.54
4. Step 4: Simplify right side
   10,057.82x = 123,344,138.26
5. Step 5: Solve for x
   x = 123,344,138.26/10,057.82
6. Step 6: Final answer
   x = 12,263.51