Finding the Fourth Proportional to 13,538.69, 20,311.49 and 5,216.46

Step by Step Solution

1. Step 1: Write the proportion equation
   13,538.69 : 20,311.49 = 5,216.46 : x
2. Step 2: Convert to fraction form
   13,538.69/20,311.49 = 5,216.46/x
3. Step 3: Cross multiply
   13,538.69x = 20,311.49 × 5,216.46
4. Step 4: Simplify right side
   13,538.69x = 105,954,049.04
5. Step 5: Solve for x
   x = 105,954,049.04/13,538.69
6. Step 6: Final answer
   x = 7,826.02