Finding the Fourth Proportional to 3,765.68, 5,200.89 and 2,568.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,765.68 : 5,200.89 = 2,568.62 : x
2. Step 2: Convert to fraction form
   3,765.68/5,200.89 = 2,568.62/x
3. Step 3: Cross multiply
   3,765.68x = 5,200.89 × 2,568.62
4. Step 4: Simplify right side
   3,765.68x = 13,359,084.07
5. Step 5: Solve for x
   x = 13,359,084.07/3,765.68
6. Step 6: Final answer
   x = 3,547.59