Finding the Fourth Proportional to 2,142.63, 3,209.42 and 1,099.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.63 : 3,209.42 = 1,099.46 : x
2. Step 2: Convert to fraction form
   2,142.63/3,209.42 = 1,099.46/x
3. Step 3: Cross multiply
   2,142.63x = 3,209.42 × 1,099.46
4. Step 4: Simplify right side
   2,142.63x = 3,528,639.69
5. Step 5: Solve for x
   x = 3,528,639.69/2,142.63
6. Step 6: Final answer
   x = 1,646.87