Finding the Fourth Proportional to 1,365.75, 1,885.37 and 842.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.75 : 1,885.37 = 842.09 : x
2. Step 2: Convert to fraction form
   1,365.75/1,885.37 = 842.09/x
3. Step 3: Cross multiply
   1,365.75x = 1,885.37 × 842.09
4. Step 4: Simplify right side
   1,365.75x = 1,587,637.59
5. Step 5: Solve for x
   x = 1,587,637.59/1,365.75
6. Step 6: Final answer
   x = 1,162.47