Finding the Fourth Proportional to 13,024.80, 19,535.16 and 3,665.52

Step by Step Solution

1. Step 1: Write the proportion equation
   13,024.80 : 19,535.16 = 3,665.52 : x
2. Step 2: Convert to fraction form
   13,024.80/19,535.16 = 3,665.52/x
3. Step 3: Cross multiply
   13,024.80x = 19,535.16 × 3,665.52
4. Step 4: Simplify right side
   13,024.80x = 71,606,519.68
5. Step 5: Solve for x
   x = 71,606,519.68/13,024.80
6. Step 6: Final answer
   x = 5,497.71