Finding the Fourth Proportional to 10,168.50, 14,031.76 and 6,189.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,168.50 : 14,031.76 = 6,189.17 : x
2. Step 2: Convert to fraction form
   10,168.50/14,031.76 = 6,189.17/x
3. Step 3: Cross multiply
   10,168.50x = 14,031.76 × 6,189.17
4. Step 4: Simplify right side
   10,168.50x = 86,844,948.04
5. Step 5: Solve for x
   x = 86,844,948.04/10,168.50
6. Step 6: Final answer
   x = 8,540.59