Finding the Fourth Proportional to 10,628.89, 14,668.76 and 5,914.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,628.89 : 14,668.76 = 5,914.06 : x
2. Step 2: Convert to fraction form
   10,628.89/14,668.76 = 5,914.06/x
3. Step 3: Cross multiply
   10,628.89x = 14,668.76 × 5,914.06
4. Step 4: Simplify right side
   10,628.89x = 86,751,897.20
5. Step 5: Solve for x
   x = 86,751,897.20/10,628.89
6. Step 6: Final answer
   x = 8,161.90