Finding the Fourth Proportional to 1,196, 1,795.98 and 1,106.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196 : 1,795.98 = 1,106.18 : x
2. Step 2: Convert to fraction form
   1,196/1,795.98 = 1,106.18/x
3. Step 3: Cross multiply
   1,196x = 1,795.98 × 1,106.18
4. Step 4: Simplify right side
   1,196x = 1,986,677.16
5. Step 5: Solve for x
   x = 1,986,677.16/1,196
6. Step 6: Final answer
   x = 1,661.10