Finding the Fourth Proportional to 13,689.27, 20,534.69 and 3,828.53

Step by Step Solution

1. Step 1: Write the proportion equation
   13,689.27 : 20,534.69 = 3,828.53 : x
2. Step 2: Convert to fraction form
   13,689.27/20,534.69 = 3,828.53/x
3. Step 3: Cross multiply
   13,689.27x = 20,534.69 × 3,828.53
4. Step 4: Simplify right side
   13,689.27x = 78,617,737.61
5. Step 5: Solve for x
   x = 78,617,737.61/13,689.27
6. Step 6: Final answer
   x = 5,743.02