Finding the Fourth Proportional to 1,367.09, 1,885.78 and 842.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,367.09 : 1,885.78 = 842.75 : x
2. Step 2: Convert to fraction form
   1,367.09/1,885.78 = 842.75/x
3. Step 3: Cross multiply
   1,367.09x = 1,885.78 × 842.75
4. Step 4: Simplify right side
   1,367.09x = 1,589,241.10
5. Step 5: Solve for x
   x = 1,589,241.10/1,367.09
6. Step 6: Final answer
   x = 1,162.50