Finding the Fourth Proportional to 2,578.40, 3,876.18 and 2,094.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.40 : 3,876.18 = 2,094.82 : x
2. Step 2: Convert to fraction form
   2,578.40/3,876.18 = 2,094.82/x
3. Step 3: Cross multiply
   2,578.40x = 3,876.18 × 2,094.82
4. Step 4: Simplify right side
   2,578.40x = 8,119,899.39
5. Step 5: Solve for x
   x = 8,119,899.39/2,578.40
6. Step 6: Final answer
   x = 3,149.20