Finding the Fourth Proportional to 2,076.10, 3,111.76 and 842.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076.10 : 3,111.76 = 842.16 : x
2. Step 2: Convert to fraction form
   2,076.10/3,111.76 = 842.16/x
3. Step 3: Cross multiply
   2,076.10x = 3,111.76 × 842.16
4. Step 4: Simplify right side
   2,076.10x = 2,620,580.03
5. Step 5: Solve for x
   x = 2,620,580.03/2,076.10
6. Step 6: Final answer
   x = 1,262.26