Finding the Fourth Proportional to 10,072.04, 15,105.77 and 3,829.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.04 : 15,105.77 = 3,829.83 : x
2. Step 2: Convert to fraction form
   10,072.04/15,105.77 = 3,829.83/x
3. Step 3: Cross multiply
   10,072.04x = 15,105.77 × 3,829.83
4. Step 4: Simplify right side
   10,072.04x = 57,852,469.69
5. Step 5: Solve for x
   x = 57,852,469.69/10,072.04
6. Step 6: Final answer
   x = 5,743.87