Finding the Fourth Proportional to 13,024.82, 19,542.90 and 5,627.49

Step by Step Solution

1. Step 1: Write the proportion equation
   13,024.82 : 19,542.90 = 5,627.49 : x
2. Step 2: Convert to fraction form
   13,024.82/19,542.90 = 5,627.49/x
3. Step 3: Cross multiply
   13,024.82x = 19,542.90 × 5,627.49
4. Step 4: Simplify right side
   13,024.82x = 109,977,474.32
5. Step 5: Solve for x
   x = 109,977,474.32/13,024.82
6. Step 6: Final answer
   x = 8,443.69