Finding the Fourth Proportional to 1,196.76, 1,793.82 and 786.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.76 : 1,793.82 = 786.18 : x
2. Step 2: Convert to fraction form
   1,196.76/1,793.82 = 786.18/x
3. Step 3: Cross multiply
   1,196.76x = 1,793.82 × 786.18
4. Step 4: Simplify right side
   1,196.76x = 1,410,265.41
5. Step 5: Solve for x
   x = 1,410,265.41/1,196.76
6. Step 6: Final answer
   x = 1,178.40