Finding the Fourth Proportional to 10,017.76, 13,824.24 and 5,541.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.76 : 13,824.24 = 5,541.60 : x
2. Step 2: Convert to fraction form
   10,017.76/13,824.24 = 5,541.60/x
3. Step 3: Cross multiply
   10,017.76x = 13,824.24 × 5,541.60
4. Step 4: Simplify right side
   10,017.76x = 76,608,408.38
5. Step 5: Solve for x
   x = 76,608,408.38/10,017.76
6. Step 6: Final answer
   x = 7,647.26