Finding the Fourth Proportional to 10,684.22, 14,744.23 and 5,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684.22 : 14,744.23 = 5,968.50 : x
2. Step 2: Convert to fraction form
   10,684.22/14,744.23 = 5,968.50/x
3. Step 3: Cross multiply
   10,684.22x = 14,744.23 × 5,968.50
4. Step 4: Simplify right side
   10,684.22x = 88,000,921.83
5. Step 5: Solve for x
   x = 88,000,921.83/10,684.22
6. Step 6: Final answer
   x = 8,236.53