Finding the Fourth Proportional to 2,540.86, 3,506.22 and 1,421.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.86 : 3,506.22 = 1,421.78 : x
2. Step 2: Convert to fraction form
   2,540.86/3,506.22 = 1,421.78/x
3. Step 3: Cross multiply
   2,540.86x = 3,506.22 × 1,421.78
4. Step 4: Simplify right side
   2,540.86x = 4,985,055.94
5. Step 5: Solve for x
   x = 4,985,055.94/2,540.86
6. Step 6: Final answer
   x = 1,961.96