Finding the Fourth Proportional to 1,200.57, 1,798.47 and 1,099.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.57 : 1,798.47 = 1,099.05 : x
2. Step 2: Convert to fraction form
   1,200.57/1,798.47 = 1,099.05/x
3. Step 3: Cross multiply
   1,200.57x = 1,798.47 × 1,099.05
4. Step 4: Simplify right side
   1,200.57x = 1,976,608.45
5. Step 5: Solve for x
   x = 1,976,608.45/1,200.57
6. Step 6: Final answer
   x = 1,646.39