Finding the Fourth Proportional to 10,013.78, 13,819.62 and 5,537.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.78 : 13,819.62 = 5,537.44 : x
2. Step 2: Convert to fraction form
   10,013.78/13,819.62 = 5,537.44/x
3. Step 3: Cross multiply
   10,013.78x = 13,819.62 × 5,537.44
4. Step 4: Simplify right side
   10,013.78x = 76,525,288.49
5. Step 5: Solve for x
   x = 76,525,288.49/10,013.78
6. Step 6: Final answer
   x = 7,642.00