Finding the Fourth Proportional to 13,824.69, 19,077.98 and 7,537.11

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824.69 : 19,077.98 = 7,537.11 : x
2. Step 2: Convert to fraction form
   13,824.69/19,077.98 = 7,537.11/x
3. Step 3: Cross multiply
   13,824.69x = 19,077.98 × 7,537.11
4. Step 4: Simplify right side
   13,824.69x = 143,792,796.15
5. Step 5: Solve for x
   x = 143,792,796.15/13,824.69
6. Step 6: Final answer
   x = 10,401.16