Finding the Fourth Proportional to 2,007.82, 3,011.50 and 547.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.82 : 3,011.50 = 547.08 : x
2. Step 2: Convert to fraction form
   2,007.82/3,011.50 = 547.08/x
3. Step 3: Cross multiply
   2,007.82x = 3,011.50 × 547.08
4. Step 4: Simplify right side
   2,007.82x = 1,647,531.42
5. Step 5: Solve for x
   x = 1,647,531.42/2,007.82
6. Step 6: Final answer
   x = 820.56