Finding the Fourth Proportional to 1,180.05, 1,629.79 and 1,022.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.05 : 1,629.79 = 1,022.42 : x
2. Step 2: Convert to fraction form
   1,180.05/1,629.79 = 1,022.42/x
3. Step 3: Cross multiply
   1,180.05x = 1,629.79 × 1,022.42
4. Step 4: Simplify right side
   1,180.05x = 1,666,329.89
5. Step 5: Solve for x
   x = 1,666,329.89/1,180.05
6. Step 6: Final answer
   x = 1,412.08