Finding the Fourth Proportional to 2,584.35, 3,880.89 and 2,452.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.35 : 3,880.89 = 2,452.86 : x
2. Step 2: Convert to fraction form
   2,584.35/3,880.89 = 2,452.86/x
3. Step 3: Cross multiply
   2,584.35x = 3,880.89 × 2,452.86
4. Step 4: Simplify right side
   2,584.35x = 9,519,279.85
5. Step 5: Solve for x
   x = 9,519,279.85/2,584.35
6. Step 6: Final answer
   x = 3,683.43