Finding the Fourth Proportional to 2,584.82, 3,876.82 and 2,148.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.82 : 3,876.82 = 2,148.86 : x
2. Step 2: Convert to fraction form
   2,584.82/3,876.82 = 2,148.86/x
3. Step 3: Cross multiply
   2,584.82x = 3,876.82 × 2,148.86
4. Step 4: Simplify right side
   2,584.82x = 8,330,743.43
5. Step 5: Solve for x
   x = 8,330,743.43/2,584.82
6. Step 6: Final answer
   x = 3,222.95