Finding the Fourth Proportional to 10,019.47, 13,825.81 and 5,542.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.47 : 13,825.81 = 5,542.51 : x
2. Step 2: Convert to fraction form
   10,019.47/13,825.81 = 5,542.51/x
3. Step 3: Cross multiply
   10,019.47x = 13,825.81 × 5,542.51
4. Step 4: Simplify right side
   10,019.47x = 76,629,690.18
5. Step 5: Solve for x
   x = 76,629,690.18/10,019.47
6. Step 6: Final answer
   x = 7,648.08