Finding the Fourth Proportional to 1,200.27, 1,655.46 and 869.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.27 : 1,655.46 = 869.79 : x
2. Step 2: Convert to fraction form
   1,200.27/1,655.46 = 869.79/x
3. Step 3: Cross multiply
   1,200.27x = 1,655.46 × 869.79
4. Step 4: Simplify right side
   1,200.27x = 1,439,902.55
5. Step 5: Solve for x
   x = 1,439,902.55/1,200.27
6. Step 6: Final answer
   x = 1,199.65