Finding the Fourth Proportional to 1,541.42, 2,127.17 and 842.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.42 : 2,127.17 = 842.80 : x
2. Step 2: Convert to fraction form
   1,541.42/2,127.17 = 842.80/x
3. Step 3: Cross multiply
   1,541.42x = 2,127.17 × 842.80
4. Step 4: Simplify right side
   1,541.42x = 1,792,764.03
5. Step 5: Solve for x
   x = 1,792,764.03/1,541.42
6. Step 6: Final answer
   x = 1,163.06