Finding the Fourth Proportional to 10,541.24, 14,546.76 and 5,825.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.24 : 14,546.76 = 5,825.42 : x
2. Step 2: Convert to fraction form
   10,541.24/14,546.76 = 5,825.42/x
3. Step 3: Cross multiply
   10,541.24x = 14,546.76 × 5,825.42
4. Step 4: Simplify right side
   10,541.24x = 84,740,986.64
5. Step 5: Solve for x
   x = 84,740,986.64/10,541.24
6. Step 6: Final answer
   x = 8,039.00