Finding the Fourth Proportional to 13,086, 19,632.78 and 3,852

Step by Step Solution

1. Step 1: Write the proportion equation
   13,086 : 19,632.78 = 3,852 : x
2. Step 2: Convert to fraction form
   13,086/19,632.78 = 3,852/x
3. Step 3: Cross multiply
   13,086x = 19,632.78 × 3,852
4. Step 4: Simplify right side
   13,086x = 75,625,468.56
5. Step 5: Solve for x
   x = 75,625,468.56/13,086
6. Step 6: Final answer
   x = 5,779.11