Finding the Fourth Proportional to 10,018.52, 13,824.68 and 5,542.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.52 : 13,824.68 = 5,542.26 : x
2. Step 2: Convert to fraction form
   10,018.52/13,824.68 = 5,542.26/x
3. Step 3: Cross multiply
   10,018.52x = 13,824.68 × 5,542.26
4. Step 4: Simplify right side
   10,018.52x = 76,619,891.42
5. Step 5: Solve for x
   x = 76,619,891.42/10,018.52
6. Step 6: Final answer
   x = 7,647.83