Finding the Fourth Proportional to 6,782.05, 10,177.31 and 3,033.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,782.05 : 10,177.31 = 3,033.83 : x
2. Step 2: Convert to fraction form
   6,782.05/10,177.31 = 3,033.83/x
3. Step 3: Cross multiply
   6,782.05x = 10,177.31 × 3,033.83
4. Step 4: Simplify right side
   6,782.05x = 30,876,232.80
5. Step 5: Solve for x
   x = 30,876,232.80/6,782.05
6. Step 6: Final answer
   x = 4,552.64