Finding the Fourth Proportional to 10,017.97, 13,824.68 and 5,541.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.97 : 13,824.68 = 5,541.82 : x
2. Step 2: Convert to fraction form
   10,017.97/13,824.68 = 5,541.82/x
3. Step 3: Cross multiply
   10,017.97x = 13,824.68 × 5,541.82
4. Step 4: Simplify right side
   10,017.97x = 76,613,825.85
5. Step 5: Solve for x
   x = 76,613,825.85/10,017.97
6. Step 6: Final answer
   x = 7,647.64