Finding the Fourth Proportional to 10,622.90, 14,658.18 and 5,906.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,622.90 : 14,658.18 = 5,906.27 : x
2. Step 2: Convert to fraction form
   10,622.90/14,658.18 = 5,906.27/x
3. Step 3: Cross multiply
   10,622.90x = 14,658.18 × 5,906.27
4. Step 4: Simplify right side
   10,622.90x = 86,575,168.79
5. Step 5: Solve for x
   x = 86,575,168.79/10,622.90
6. Step 6: Final answer
   x = 8,149.86