Finding the Fourth Proportional to 10,621.89, 14,658 and 5,906.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,621.89 : 14,658 = 5,906.07 : x
2. Step 2: Convert to fraction form
   10,621.89/14,658 = 5,906.07/x
3. Step 3: Cross multiply
   10,621.89x = 14,658 × 5,906.07
4. Step 4: Simplify right side
   10,621.89x = 86,571,174.06
5. Step 5: Solve for x
   x = 86,571,174.06/10,621.89
6. Step 6: Final answer
   x = 8,150.26