Finding the Fourth Proportional to 10,018.89, 13,825.69 and 5,542.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.89 : 13,825.69 = 5,542.83 : x
2. Step 2: Convert to fraction form
   10,018.89/13,825.69 = 5,542.83/x
3. Step 3: Cross multiply
   10,018.89x = 13,825.69 × 5,542.83
4. Step 4: Simplify right side
   10,018.89x = 76,633,435.45
5. Step 5: Solve for x
   x = 76,633,435.45/10,018.89
6. Step 6: Final answer
   x = 7,648.89