Finding the Fourth Proportional to 1,196.97, 1,799.55 and 1,106.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.97 : 1,799.55 = 1,106.75 : x
2. Step 2: Convert to fraction form
   1,196.97/1,799.55 = 1,106.75/x
3. Step 3: Cross multiply
   1,196.97x = 1,799.55 × 1,106.75
4. Step 4: Simplify right side
   1,196.97x = 1,991,651.96
5. Step 5: Solve for x
   x = 1,991,651.96/1,196.97
6. Step 6: Final answer
   x = 1,663.91