Finding the Fourth Proportional to 10,013.39, 13,819.49 and 5,537.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.39 : 13,819.49 = 5,537.48 : x
2. Step 2: Convert to fraction form
   10,013.39/13,819.49 = 5,537.48/x
3. Step 3: Cross multiply
   10,013.39x = 13,819.49 × 5,537.48
4. Step 4: Simplify right side
   10,013.39x = 76,525,149.49
5. Step 5: Solve for x
   x = 76,525,149.49/10,013.39
6. Step 6: Final answer
   x = 7,642.28