Finding the Fourth Proportional to 1,091.18, 1,504.77 and 842.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.18 : 1,504.77 = 842.10 : x
2. Step 2: Convert to fraction form
   1,091.18/1,504.77 = 842.10/x
3. Step 3: Cross multiply
   1,091.18x = 1,504.77 × 842.10
4. Step 4: Simplify right side
   1,091.18x = 1,267,166.82
5. Step 5: Solve for x
   x = 1,267,166.82/1,091.18
6. Step 6: Final answer
   x = 1,161.29