Finding the Fourth Proportional to 1,199.43, 1,654.42 and 826.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.43 : 1,654.42 = 826.42 : x
2. Step 2: Convert to fraction form
   1,199.43/1,654.42 = 826.42/x
3. Step 3: Cross multiply
   1,199.43x = 1,654.42 × 826.42
4. Step 4: Simplify right side
   1,199.43x = 1,367,241.64
5. Step 5: Solve for x
   x = 1,367,241.64/1,199.43
6. Step 6: Final answer
   x = 1,139.91