Finding the Fourth Proportional to 3,936.72, 5,424.84 and 3,684

Step by Step Solution

1. Step 1: Write the proportion equation
   3,936.72 : 5,424.84 = 3,684 : x
2. Step 2: Convert to fraction form
   3,936.72/5,424.84 = 3,684/x
3. Step 3: Cross multiply
   3,936.72x = 5,424.84 × 3,684
4. Step 4: Simplify right side
   3,936.72x = 19,985,110.56
5. Step 5: Solve for x
   x = 19,985,110.56/3,936.72
6. Step 6: Final answer
   x = 5,076.59