Finding the Fourth Proportional to 6,781.72, 10,144.50 and 6,367

Step by Step Solution

1. Step 1: Write the proportion equation
   6,781.72 : 10,144.50 = 6,367 : x
2. Step 2: Convert to fraction form
   6,781.72/10,144.50 = 6,367/x
3. Step 3: Cross multiply
   6,781.72x = 10,144.50 × 6,367
4. Step 4: Simplify right side
   6,781.72x = 64,590,031.50
5. Step 5: Solve for x
   x = 64,590,031.50/6,781.72
6. Step 6: Final answer
   x = 9,524.14