Finding the Fourth Proportional to 2,649.92, 3,974.33 and 1,005.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.92 : 3,974.33 = 1,005.89 : x
2. Step 2: Convert to fraction form
   2,649.92/3,974.33 = 1,005.89/x
3. Step 3: Cross multiply
   2,649.92x = 3,974.33 × 1,005.89
4. Step 4: Simplify right side
   2,649.92x = 3,997,721.45
5. Step 5: Solve for x
   x = 3,997,721.45/2,649.92
6. Step 6: Final answer
   x = 1,508.62