Finding the Fourth Proportional to 2,568.08, 3,827.40 and 2,546.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,568.08 : 3,827.40 = 2,546.62 : x
2. Step 2: Convert to fraction form
   2,568.08/3,827.40 = 2,546.62/x
3. Step 3: Cross multiply
   2,568.08x = 3,827.40 × 2,546.62
4. Step 4: Simplify right side
   2,568.08x = 9,746,933.39
5. Step 5: Solve for x
   x = 9,746,933.39/2,568.08
6. Step 6: Final answer
   x = 3,795.42