Finding the Fourth Proportional to 13,186.37, 19,776.31 and 3,824.39

Step by Step Solution

1. Step 1: Write the proportion equation
   13,186.37 : 19,776.31 = 3,824.39 : x
2. Step 2: Convert to fraction form
   13,186.37/19,776.31 = 3,824.39/x
3. Step 3: Cross multiply
   13,186.37x = 19,776.31 × 3,824.39
4. Step 4: Simplify right side
   13,186.37x = 75,632,322.20
5. Step 5: Solve for x
   x = 75,632,322.20/13,186.37
6. Step 6: Final answer
   x = 5,735.64