Finding the Fourth Proportional to 2,200.78, 3,037.07 and 1,206.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,200.78 : 3,037.07 = 1,206.09 : x
2. Step 2: Convert to fraction form
   2,200.78/3,037.07 = 1,206.09/x
3. Step 3: Cross multiply
   2,200.78x = 3,037.07 × 1,206.09
4. Step 4: Simplify right side
   2,200.78x = 3,662,958.54
5. Step 5: Solve for x
   x = 3,662,958.54/2,200.78
6. Step 6: Final answer
   x = 1,664.39