Finding the Fourth Proportional to 6,687.86, 10,031.89 and 3,178.23

Step by Step Solution

1. Step 1: Write the proportion equation
   6,687.86 : 10,031.89 = 3,178.23 : x
2. Step 2: Convert to fraction form
   6,687.86/10,031.89 = 3,178.23/x
3. Step 3: Cross multiply
   6,687.86x = 10,031.89 × 3,178.23
4. Step 4: Simplify right side
   6,687.86x = 31,883,679.17
5. Step 5: Solve for x
   x = 31,883,679.17/6,687.86
6. Step 6: Final answer
   x = 4,767.39