Finding the Fourth Proportional to 10,078.14, 15,117.34 and 3,838.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.14 : 15,117.34 = 3,838.16 : x
2. Step 2: Convert to fraction form
   10,078.14/15,117.34 = 3,838.16/x
3. Step 3: Cross multiply
   10,078.14x = 15,117.34 × 3,838.16
4. Step 4: Simplify right side
   10,078.14x = 58,022,769.69
5. Step 5: Solve for x
   x = 58,022,769.69/10,078.14
6. Step 6: Final answer
   x = 5,757.29