Finding the Fourth Proportional to 2,649.41, 3,974.15 and 800.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.41 : 3,974.15 = 800.54 : x
2. Step 2: Convert to fraction form
   2,649.41/3,974.15 = 800.54/x
3. Step 3: Cross multiply
   2,649.41x = 3,974.15 × 800.54
4. Step 4: Simplify right side
   2,649.41x = 3,181,477.98
5. Step 5: Solve for x
   x = 3,181,477.98/2,649.41
6. Step 6: Final answer
   x = 1,200.82