Finding the Fourth Proportional to 2,834.16, 3,914.64 and 2,046.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,834.16 : 3,914.64 = 2,046.96 : x
2. Step 2: Convert to fraction form
   2,834.16/3,914.64 = 2,046.96/x
3. Step 3: Cross multiply
   2,834.16x = 3,914.64 × 2,046.96
4. Step 4: Simplify right side
   2,834.16x = 8,013,111.49
5. Step 5: Solve for x
   x = 8,013,111.49/2,834.16
6. Step 6: Final answer
   x = 2,827.33