Finding the Fourth Proportional to 10,622.38, 14,658.70 and 5,906.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,622.38 : 14,658.70 = 5,906.56 : x
2. Step 2: Convert to fraction form
   10,622.38/14,658.70 = 5,906.56/x
3. Step 3: Cross multiply
   10,622.38x = 14,658.70 × 5,906.56
4. Step 4: Simplify right side
   10,622.38x = 86,582,491.07
5. Step 5: Solve for x
   x = 86,582,491.07/10,622.38
6. Step 6: Final answer
   x = 8,150.95