Finding the Fourth Proportional to 3,914.71, 5,402.55 and 2,586.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914.71 : 5,402.55 = 2,586.09 : x
2. Step 2: Convert to fraction form
   3,914.71/5,402.55 = 2,586.09/x
3. Step 3: Cross multiply
   3,914.71x = 5,402.55 × 2,586.09
4. Step 4: Simplify right side
   3,914.71x = 13,971,480.53
5. Step 5: Solve for x
   x = 13,971,480.53/3,914.71
6. Step 6: Final answer
   x = 3,568.97