Finding the Fourth Proportional to 10,018.56, 13,824.68 and 5,542.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.56 : 13,824.68 = 5,542.20 : x
2. Step 2: Convert to fraction form
   10,018.56/13,824.68 = 5,542.20/x
3. Step 3: Cross multiply
   10,018.56x = 13,824.68 × 5,542.20
4. Step 4: Simplify right side
   10,018.56x = 76,619,141.50
5. Step 5: Solve for x
   x = 76,619,141.50/10,018.56
6. Step 6: Final answer
   x = 7,647.72