Finding the Fourth Proportional to 3,846.88, 5,304.84 and 3,638.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,846.88 : 5,304.84 = 3,638.74 : x
2. Step 2: Convert to fraction form
   3,846.88/5,304.84 = 3,638.74/x
3. Step 3: Cross multiply
   3,846.88x = 5,304.84 × 3,638.74
4. Step 4: Simplify right side
   3,846.88x = 19,302,933.50
5. Step 5: Solve for x
   x = 19,302,933.50/3,846.88
6. Step 6: Final answer
   x = 5,017.82