Finding the Fourth Proportional to 2,568.55, 3,855.01 and 1,009.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,568.55 : 3,855.01 = 1,009.64 : x
2. Step 2: Convert to fraction form
   2,568.55/3,855.01 = 1,009.64/x
3. Step 3: Cross multiply
   2,568.55x = 3,855.01 × 1,009.64
4. Step 4: Simplify right side
   2,568.55x = 3,892,167.25
5. Step 5: Solve for x
   x = 3,892,167.25/2,568.55
6. Step 6: Final answer
   x = 1,515.32