Finding the Fourth Proportional to 13,824.95, 19,078.56 and 7,537.32

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824.95 : 19,078.56 = 7,537.32 : x
2. Step 2: Convert to fraction form
   13,824.95/19,078.56 = 7,537.32/x
3. Step 3: Cross multiply
   13,824.95x = 19,078.56 × 7,537.32
4. Step 4: Simplify right side
   13,824.95x = 143,801,211.86
5. Step 5: Solve for x
   x = 143,801,211.86/13,824.95
6. Step 6: Final answer
   x = 10,401.58