Finding the Fourth Proportional to 10,622.15, 14,658.57 and 5,906.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,622.15 : 14,658.57 = 5,906.42 : x
2. Step 2: Convert to fraction form
   10,622.15/14,658.57 = 5,906.42/x
3. Step 3: Cross multiply
   10,622.15x = 14,658.57 × 5,906.42
4. Step 4: Simplify right side
   10,622.15x = 86,579,671.02
5. Step 5: Solve for x
   x = 86,579,671.02/10,622.15
6. Step 6: Final answer
   x = 8,150.86