Finding the Fourth Proportional to 1,206.72, 1,811.52 and 796.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206.72 : 1,811.52 = 796.80 : x
2. Step 2: Convert to fraction form
   1,206.72/1,811.52 = 796.80/x
3. Step 3: Cross multiply
   1,206.72x = 1,811.52 × 796.80
4. Step 4: Simplify right side
   1,206.72x = 1,443,419.14
5. Step 5: Solve for x
   x = 1,443,419.14/1,206.72
6. Step 6: Final answer
   x = 1,196.15