Finding the Fourth Proportional to 10,541.94, 14,548.05 and 5,826.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.94 : 14,548.05 = 5,826.42 : x
2. Step 2: Convert to fraction form
   10,541.94/14,548.05 = 5,826.42/x
3. Step 3: Cross multiply
   10,541.94x = 14,548.05 × 5,826.42
4. Step 4: Simplify right side
   10,541.94x = 84,763,049.48
5. Step 5: Solve for x
   x = 84,763,049.48/10,541.94
6. Step 6: Final answer
   x = 8,040.56