Finding the Fourth Proportional to 1,181.92, 1,768.56 and 796

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.92 : 1,768.56 = 796 : x
2. Step 2: Convert to fraction form
   1,181.92/1,768.56 = 796/x
3. Step 3: Cross multiply
   1,181.92x = 1,768.56 × 796
4. Step 4: Simplify right side
   1,181.92x = 1,407,773.76
5. Step 5: Solve for x
   x = 1,407,773.76/1,181.92
6. Step 6: Final answer
   x = 1,191.09