Finding the Fourth Proportional to 1,365.88, 1,884.72 and 842.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.88 : 1,884.72 = 842.08 : x
2. Step 2: Convert to fraction form
   1,365.88/1,884.72 = 842.08/x
3. Step 3: Cross multiply
   1,365.88x = 1,884.72 × 842.08
4. Step 4: Simplify right side
   1,365.88x = 1,587,085.02
5. Step 5: Solve for x
   x = 1,587,085.02/1,365.88
6. Step 6: Final answer
   x = 1,161.95