Finding the Fourth Proportional to 2,649.42, 3,972.83 and 800.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.42 : 3,972.83 = 800.19 : x
2. Step 2: Convert to fraction form
   2,649.42/3,972.83 = 800.19/x
3. Step 3: Cross multiply
   2,649.42x = 3,972.83 × 800.19
4. Step 4: Simplify right side
   2,649.42x = 3,179,018.84
5. Step 5: Solve for x
   x = 3,179,018.84/2,649.42
6. Step 6: Final answer
   x = 1,199.89