Finding the Fourth Proportional to 10,026.17, 13,836.29 and 5,489.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.17 : 13,836.29 = 5,489.24 : x
2. Step 2: Convert to fraction form
   10,026.17/13,836.29 = 5,489.24/x
3. Step 3: Cross multiply
   10,026.17x = 13,836.29 × 5,489.24
4. Step 4: Simplify right side
   10,026.17x = 75,950,661.06
5. Step 5: Solve for x
   x = 75,950,661.06/10,026.17
6. Step 6: Final answer
   x = 7,575.24