Finding the Fourth Proportional to 10,543.46, 14,549.91 and 5,827.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,543.46 : 14,549.91 = 5,827.37 : x
2. Step 2: Convert to fraction form
   10,543.46/14,549.91 = 5,827.37/x
3. Step 3: Cross multiply
   10,543.46x = 14,549.91 × 5,827.37
4. Step 4: Simplify right side
   10,543.46x = 84,787,709.04
5. Step 5: Solve for x
   x = 84,787,709.04/10,543.46
6. Step 6: Final answer
   x = 8,041.73