Finding the Fourth Proportional to 2,007.47, 3,011.34 and 546.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.47 : 3,011.34 = 546.59 : x
2. Step 2: Convert to fraction form
   2,007.47/3,011.34 = 546.59/x
3. Step 3: Cross multiply
   2,007.47x = 3,011.34 × 546.59
4. Step 4: Simplify right side
   2,007.47x = 1,645,953.27
5. Step 5: Solve for x
   x = 1,645,953.27/2,007.47
6. Step 6: Final answer
   x = 819.92