Finding the Fourth Proportional to 2,280.72, 3,142.80 and 1,649.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,280.72 : 3,142.80 = 1,649.22 : x
2. Step 2: Convert to fraction form
   2,280.72/3,142.80 = 1,649.22/x
3. Step 3: Cross multiply
   2,280.72x = 3,142.80 × 1,649.22
4. Step 4: Simplify right side
   2,280.72x = 5,183,168.62
5. Step 5: Solve for x
   x = 5,183,168.62/2,280.72
6. Step 6: Final answer
   x = 2,272.60