Finding the Fourth Proportional to 10,684.14, 14,743.63 and 5,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684.14 : 14,743.63 = 5,967.50 : x
2. Step 2: Convert to fraction form
   10,684.14/14,743.63 = 5,967.50/x
3. Step 3: Cross multiply
   10,684.14x = 14,743.63 × 5,967.50
4. Step 4: Simplify right side
   10,684.14x = 87,982,612.03
5. Step 5: Solve for x
   x = 87,982,612.03/10,684.14
6. Step 6: Final answer
   x = 8,234.88