Finding the Fourth Proportional to 10,543.57, 14,550.24 and 5,828.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543.57 : 14,550.24 = 5,828.02 : x
2. Step 2: Convert to fraction form
   10,543.57/14,550.24 = 5,828.02/x
3. Step 3: Cross multiply
   10,543.57x = 14,550.24 × 5,828.02
4. Step 4: Simplify right side
   10,543.57x = 84,799,089.72
5. Step 5: Solve for x
   x = 84,799,089.72/10,543.57
6. Step 6: Final answer
   x = 8,042.73