Finding the Fourth Proportional to 3,638.80, 5,431.46 and 3,517.12

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638.80 : 5,431.46 = 3,517.12 : x
2. Step 2: Convert to fraction form
   3,638.80/5,431.46 = 3,517.12/x
3. Step 3: Cross multiply
   3,638.80x = 5,431.46 × 3,517.12
4. Step 4: Simplify right side
   3,638.80x = 19,103,096.60
5. Step 5: Solve for x
   x = 19,103,096.60/3,638.80
6. Step 6: Final answer
   x = 5,249.83