Finding the Fourth Proportional to 10,543.82, 14,550.77 and 5,828.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543.82 : 14,550.77 = 5,828.41 : x
2. Step 2: Convert to fraction form
   10,543.82/14,550.77 = 5,828.41/x
3. Step 3: Cross multiply
   10,543.82x = 14,550.77 × 5,828.41
4. Step 4: Simplify right side
   10,543.82x = 84,807,751.48
5. Step 5: Solve for x
   x = 84,807,751.48/10,543.82
6. Step 6: Final answer
   x = 8,043.36