Finding the Fourth Proportional to 13,824.72, 19,078.32 and 7,537.20

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824.72 : 19,078.32 = 7,537.20 : x
2. Step 2: Convert to fraction form
   13,824.72/19,078.32 = 7,537.20/x
3. Step 3: Cross multiply
   13,824.72x = 19,078.32 × 7,537.20
4. Step 4: Simplify right side
   13,824.72x = 143,797,113.50
5. Step 5: Solve for x
   x = 143,797,113.50/13,824.72
6. Step 6: Final answer
   x = 10,401.45