Finding the Fourth Proportional to 6,766.83, 10,116.90 and 5,738.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,766.83 : 10,116.90 = 5,738.31 : x
2. Step 2: Convert to fraction form
   6,766.83/10,116.90 = 5,738.31/x
3. Step 3: Cross multiply
   6,766.83x = 10,116.90 × 5,738.31
4. Step 4: Simplify right side
   6,766.83x = 58,053,908.44
5. Step 5: Solve for x
   x = 58,053,908.44/6,766.83
6. Step 6: Final answer
   x = 8,579.19