Finding the Fourth Proportional to 10,017.24, 13,825.76 and 5,826.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.24 : 13,825.76 = 5,826.28 : x
2. Step 2: Convert to fraction form
   10,017.24/13,825.76 = 5,826.28/x
3. Step 3: Cross multiply
   10,017.24x = 13,825.76 × 5,826.28
4. Step 4: Simplify right side
   10,017.24x = 80,552,748.97
5. Step 5: Solve for x
   x = 80,552,748.97/10,017.24
6. Step 6: Final answer
   x = 8,041.41