Finding the Fourth Proportional to 10,543.94, 14,550.82 and 5,828.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543.94 : 14,550.82 = 5,828.42 : x
2. Step 2: Convert to fraction form
   10,543.94/14,550.82 = 5,828.42/x
3. Step 3: Cross multiply
   10,543.94x = 14,550.82 × 5,828.42
4. Step 4: Simplify right side
   10,543.94x = 84,808,290.30
5. Step 5: Solve for x
   x = 84,808,290.30/10,543.94
6. Step 6: Final answer
   x = 8,043.32