Finding the Fourth Proportional to 10,017.73, 13,824.50 and 5,541.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.73 : 13,824.50 = 5,541.49 : x
2. Step 2: Convert to fraction form
   10,017.73/13,824.50 = 5,541.49/x
3. Step 3: Cross multiply
   10,017.73x = 13,824.50 × 5,541.49
4. Step 4: Simplify right side
   10,017.73x = 76,608,328.51
5. Step 5: Solve for x
   x = 76,608,328.51/10,017.73
6. Step 6: Final answer
   x = 7,647.27