Finding the Fourth Proportional to 10,629.86, 14,669.21 and 5,914.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,629.86 : 14,669.21 = 5,914.14 : x
2. Step 2: Convert to fraction form
   10,629.86/14,669.21 = 5,914.14/x
3. Step 3: Cross multiply
   10,629.86x = 14,669.21 × 5,914.14
4. Step 4: Simplify right side
   10,629.86x = 86,755,732.06
5. Step 5: Solve for x
   x = 86,755,732.06/10,629.86
6. Step 6: Final answer
   x = 8,161.51