Finding the Fourth Proportional to 2,007.82, 3,011.34 and 546.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.82 : 3,011.34 = 546.78 : x
2. Step 2: Convert to fraction form
   2,007.82/3,011.34 = 546.78/x
3. Step 3: Cross multiply
   2,007.82x = 3,011.34 × 546.78
4. Step 4: Simplify right side
   2,007.82x = 1,646,540.49
5. Step 5: Solve for x
   x = 1,646,540.49/2,007.82
6. Step 6: Final answer
   x = 820.06