Finding the Fourth Proportional to 2,864.16, 3,922.91 and 2,696.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,864.16 : 3,922.91 = 2,696.04 : x
2. Step 2: Convert to fraction form
   2,864.16/3,922.91 = 2,696.04/x
3. Step 3: Cross multiply
   2,864.16x = 3,922.91 × 2,696.04
4. Step 4: Simplify right side
   2,864.16x = 10,576,322.28
5. Step 5: Solve for x
   x = 10,576,322.28/2,864.16
6. Step 6: Final answer
   x = 3,692.64