Finding the Fourth Proportional to 10,622.06, 14,658.46 and 5,906.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,622.06 : 14,658.46 = 5,906.30 : x
2. Step 2: Convert to fraction form
   10,622.06/14,658.46 = 5,906.30/x
3. Step 3: Cross multiply
   10,622.06x = 14,658.46 × 5,906.30
4. Step 4: Simplify right side
   10,622.06x = 86,577,262.30
5. Step 5: Solve for x
   x = 86,577,262.30/10,622.06
6. Step 6: Final answer
   x = 8,150.70