Finding the Fourth Proportional to 10,019.50, 13,825.82 and 5,542.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.50 : 13,825.82 = 5,542.54 : x
2. Step 2: Convert to fraction form
   10,019.50/13,825.82 = 5,542.54/x
3. Step 3: Cross multiply
   10,019.50x = 13,825.82 × 5,542.54
4. Step 4: Simplify right side
   10,019.50x = 76,630,160.38
5. Step 5: Solve for x
   x = 76,630,160.38/10,019.50
6. Step 6: Final answer
   x = 7,648.10