Finding the Fourth Proportional to 10,018.76, 13,825.62 and 5,542.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.76 : 13,825.62 = 5,542.60 : x
2. Step 2: Convert to fraction form
   10,018.76/13,825.62 = 5,542.60/x
3. Step 3: Cross multiply
   10,018.76x = 13,825.62 × 5,542.60
4. Step 4: Simplify right side
   10,018.76x = 76,629,881.41
5. Step 5: Solve for x
   x = 76,629,881.41/10,018.76
6. Step 6: Final answer
   x = 7,648.64