Finding the Fourth Proportional to 2,142.24, 3,209.89 and 1,100.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.24 : 3,209.89 = 1,100.80 : x
2. Step 2: Convert to fraction form
   2,142.24/3,209.89 = 1,100.80/x
3. Step 3: Cross multiply
   2,142.24x = 3,209.89 × 1,100.80
4. Step 4: Simplify right side
   2,142.24x = 3,533,446.91
5. Step 5: Solve for x
   x = 3,533,446.91/2,142.24
6. Step 6: Final answer
   x = 1,649.42