Finding the Fourth Proportional to 10,544.50, 14,550.15 and 5,828.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,544.50 : 14,550.15 = 5,828.14 : x
2. Step 2: Convert to fraction form
   10,544.50/14,550.15 = 5,828.14/x
3. Step 3: Cross multiply
   10,544.50x = 14,550.15 × 5,828.14
4. Step 4: Simplify right side
   10,544.50x = 84,800,311.22
5. Step 5: Solve for x
   x = 84,800,311.22/10,544.50
6. Step 6: Final answer
   x = 8,042.14