Finding the Fourth Proportional to 10,622.01, 14,658.29 and 5,906.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,622.01 : 14,658.29 = 5,906.25 : x
2. Step 2: Convert to fraction form
   10,622.01/14,658.29 = 5,906.25/x
3. Step 3: Cross multiply
   10,622.01x = 14,658.29 × 5,906.25
4. Step 4: Simplify right side
   10,622.01x = 86,575,495.78
5. Step 5: Solve for x
   x = 86,575,495.78/10,622.01
6. Step 6: Final answer
   x = 8,150.58