Finding the Fourth Proportional to 13,189.72, 19,786.53 and 3,829.81

Step by Step Solution

1. Step 1: Write the proportion equation
   13,189.72 : 19,786.53 = 3,829.81 : x
2. Step 2: Convert to fraction form
   13,189.72/19,786.53 = 3,829.81/x
3. Step 3: Cross multiply
   13,189.72x = 19,786.53 × 3,829.81
4. Step 4: Simplify right side
   13,189.72x = 75,778,650.46
5. Step 5: Solve for x
   x = 75,778,650.46/13,189.72
6. Step 6: Final answer
   x = 5,745.28