Finding the Fourth Proportional to 10,543.25, 14,549.82 and 5,827.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543.25 : 14,549.82 = 5,827.97 : x
2. Step 2: Convert to fraction form
   10,543.25/14,549.82 = 5,827.97/x
3. Step 3: Cross multiply
   10,543.25x = 14,549.82 × 5,827.97
4. Step 4: Simplify right side
   10,543.25x = 84,795,914.47
5. Step 5: Solve for x
   x = 84,795,914.47/10,543.25
6. Step 6: Final answer
   x = 8,042.67