Finding the Fourth Proportional to 1,192.82, 1,788.69 and 775.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.82 : 1,788.69 = 775.94 : x
2. Step 2: Convert to fraction form
   1,192.82/1,788.69 = 775.94/x
3. Step 3: Cross multiply
   1,192.82x = 1,788.69 × 775.94
4. Step 4: Simplify right side
   1,192.82x = 1,387,920.59
5. Step 5: Solve for x
   x = 1,387,920.59/1,192.82
6. Step 6: Final answer
   x = 1,163.56