Finding the Fourth Proportional to 2,007.24, 3,010.56 and 546.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.24 : 3,010.56 = 546.48 : x
2. Step 2: Convert to fraction form
   2,007.24/3,010.56 = 546.48/x
3. Step 3: Cross multiply
   2,007.24x = 3,010.56 × 546.48
4. Step 4: Simplify right side
   2,007.24x = 1,645,210.83
5. Step 5: Solve for x
   x = 1,645,210.83/2,007.24
6. Step 6: Final answer
   x = 819.64