Finding the Fourth Proportional to 10,543.52, 14,549.49 and 5,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543.52 : 14,549.49 = 5,827.50 : x
2. Step 2: Convert to fraction form
   10,543.52/14,549.49 = 5,827.50/x
3. Step 3: Cross multiply
   10,543.52x = 14,549.49 × 5,827.50
4. Step 4: Simplify right side
   10,543.52x = 84,787,152.98
5. Step 5: Solve for x
   x = 84,787,152.98/10,543.52
6. Step 6: Final answer
   x = 8,041.63