Finding the Fourth Proportional to 2,747.98, 4,122.51 and 800.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,747.98 : 4,122.51 = 800.20 : x
2. Step 2: Convert to fraction form
   2,747.98/4,122.51 = 800.20/x
3. Step 3: Cross multiply
   2,747.98x = 4,122.51 × 800.20
4. Step 4: Simplify right side
   2,747.98x = 3,298,832.50
5. Step 5: Solve for x
   x = 3,298,832.50/2,747.98
6. Step 6: Final answer
   x = 1,200.46