Finding the Fourth Proportional to 3,796.94, 5,695.39 and 2,296.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,796.94 : 5,695.39 = 2,296.25 : x
2. Step 2: Convert to fraction form
   3,796.94/5,695.39 = 2,296.25/x
3. Step 3: Cross multiply
   3,796.94x = 5,695.39 × 2,296.25
4. Step 4: Simplify right side
   3,796.94x = 13,078,039.29
5. Step 5: Solve for x
   x = 13,078,039.29/3,796.94
6. Step 6: Final answer
   x = 3,444.36