Finding the Fourth Proportional to 1,196.55, 1,793.59 and 866.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.55 : 1,793.59 = 866.68 : x
2. Step 2: Convert to fraction form
   1,196.55/1,793.59 = 866.68/x
3. Step 3: Cross multiply
   1,196.55x = 1,793.59 × 866.68
4. Step 4: Simplify right side
   1,196.55x = 1,554,461.93
5. Step 5: Solve for x
   x = 1,554,461.93/1,196.55
6. Step 6: Final answer
   x = 1,299.12