Finding the Fourth Proportional to 1,196.56, 1,796.06 and 805.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.56 : 1,796.06 = 805.33 : x
2. Step 2: Convert to fraction form
   1,196.56/1,796.06 = 805.33/x
3. Step 3: Cross multiply
   1,196.56x = 1,796.06 × 805.33
4. Step 4: Simplify right side
   1,196.56x = 1,446,421.00
5. Step 5: Solve for x
   x = 1,446,421.00/1,196.56
6. Step 6: Final answer
   x = 1,208.82