Finding the Fourth Proportional to 10,018.53, 13,825.80 and 5,542.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.53 : 13,825.80 = 5,542.32 : x
2. Step 2: Convert to fraction form
   10,018.53/13,825.80 = 5,542.32/x
3. Step 3: Cross multiply
   10,018.53x = 13,825.80 × 5,542.32
4. Step 4: Simplify right side
   10,018.53x = 76,627,007.86
5. Step 5: Solve for x
   x = 76,627,007.86/10,018.53
6. Step 6: Final answer
   x = 7,648.53