Finding the Fourth Proportional to 10,542.24, 14,548.32 and 5,826.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,542.24 : 14,548.32 = 5,826.42 : x
2. Step 2: Convert to fraction form
   10,542.24/14,548.32 = 5,826.42/x
3. Step 3: Cross multiply
   10,542.24x = 14,548.32 × 5,826.42
4. Step 4: Simplify right side
   10,542.24x = 84,764,622.61
5. Step 5: Solve for x
   x = 84,764,622.61/10,542.24
6. Step 6: Final answer
   x = 8,040.48