Finding the Fourth Proportional to 1,365.89, 1,884.53 and 842.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.89 : 1,884.53 = 842.09 : x
2. Step 2: Convert to fraction form
   1,365.89/1,884.53 = 842.09/x
3. Step 3: Cross multiply
   1,365.89x = 1,884.53 × 842.09
4. Step 4: Simplify right side
   1,365.89x = 1,586,936.55
5. Step 5: Solve for x
   x = 1,586,936.55/1,365.89
6. Step 6: Final answer
   x = 1,161.84