Finding the Fourth Proportional to 10,019.10, 13,825.14 and 5,542.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.10 : 13,825.14 = 5,542.23 : x
2. Step 2: Convert to fraction form
   10,019.10/13,825.14 = 5,542.23/x
3. Step 3: Cross multiply
   10,019.10x = 13,825.14 × 5,542.23
4. Step 4: Simplify right side
   10,019.10x = 76,622,105.66
5. Step 5: Solve for x
   x = 76,622,105.66/10,019.10
6. Step 6: Final answer
   x = 7,647.60