Finding the Fourth Proportional to 10,021.47, 13,828.67 and 5,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,021.47 : 13,828.67 = 5,544.50 : x
2. Step 2: Convert to fraction form
   10,021.47/13,828.67 = 5,544.50/x
3. Step 3: Cross multiply
   10,021.47x = 13,828.67 × 5,544.50
4. Step 4: Simplify right side
   10,021.47x = 76,673,093.72
5. Step 5: Solve for x
   x = 76,673,093.72/10,021.47
6. Step 6: Final answer
   x = 7,650.88