Finding the Fourth Proportional to 1,196.36, 1,792.18 and 1,106.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.36 : 1,792.18 = 1,106.65 : x
2. Step 2: Convert to fraction form
   1,196.36/1,792.18 = 1,106.65/x
3. Step 3: Cross multiply
   1,196.36x = 1,792.18 × 1,106.65
4. Step 4: Simplify right side
   1,196.36x = 1,983,308.75
5. Step 5: Solve for x
   x = 1,983,308.75/1,196.36
6. Step 6: Final answer
   x = 1,657.78