Finding the Fourth Proportional to 2,007.15, 3,010.76 and 546.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.15 : 3,010.76 = 546.34 : x
2. Step 2: Convert to fraction form
   2,007.15/3,010.76 = 546.34/x
3. Step 3: Cross multiply
   2,007.15x = 3,010.76 × 546.34
4. Step 4: Simplify right side
   2,007.15x = 1,644,898.62
5. Step 5: Solve for x
   x = 1,644,898.62/2,007.15
6. Step 6: Final answer
   x = 819.52