Finding the Fourth Proportional to 10,629.81, 14,669.10 and 5,914.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,629.81 : 14,669.10 = 5,914.35 : x
2. Step 2: Convert to fraction form
   10,629.81/14,669.10 = 5,914.35/x
3. Step 3: Cross multiply
   10,629.81x = 14,669.10 × 5,914.35
4. Step 4: Simplify right side
   10,629.81x = 86,758,191.59
5. Step 5: Solve for x
   x = 86,758,191.59/10,629.81
6. Step 6: Final answer
   x = 8,161.78