Finding the Fourth Proportional to 1,196.80, 1,796.07 and 785.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.80 : 1,796.07 = 785.79 : x
2. Step 2: Convert to fraction form
   1,196.80/1,796.07 = 785.79/x
3. Step 3: Cross multiply
   1,196.80x = 1,796.07 × 785.79
4. Step 4: Simplify right side
   1,196.80x = 1,411,320.94
5. Step 5: Solve for x
   x = 1,411,320.94/1,196.80
6. Step 6: Final answer
   x = 1,179.25