Finding the Fourth Proportional to 10,622.51, 14,658.87 and 5,906.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,622.51 : 14,658.87 = 5,906.69 : x
2. Step 2: Convert to fraction form
   10,622.51/14,658.87 = 5,906.69/x
3. Step 3: Cross multiply
   10,622.51x = 14,658.87 × 5,906.69
4. Step 4: Simplify right side
   10,622.51x = 86,585,400.84
5. Step 5: Solve for x
   x = 86,585,400.84/10,622.51
6. Step 6: Final answer
   x = 8,151.12