Finding the Fourth Proportional to 10,021.36, 13,829.69 and 5,545.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,021.36 : 13,829.69 = 5,545.41 : x
2. Step 2: Convert to fraction form
   10,021.36/13,829.69 = 5,545.41/x
3. Step 3: Cross multiply
   10,021.36x = 13,829.69 × 5,545.41
4. Step 4: Simplify right side
   10,021.36x = 76,691,309.82
5. Step 5: Solve for x
   x = 76,691,309.82/10,021.36
6. Step 6: Final answer
   x = 7,652.79