Finding the Fourth Proportional to 2,296.16, 3,171.04 and 1,596.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296.16 : 3,171.04 = 1,596.32 : x
2. Step 2: Convert to fraction form
   2,296.16/3,171.04 = 1,596.32/x
3. Step 3: Cross multiply
   2,296.16x = 3,171.04 × 1,596.32
4. Step 4: Simplify right side
   2,296.16x = 5,061,994.57
5. Step 5: Solve for x
   x = 5,061,994.57/2,296.16
6. Step 6: Final answer
   x = 2,204.55