Finding the Fourth Proportional to 3,540.86, 4,886.16 and 2,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,540.86 : 4,886.16 = 2,214.50 : x
2. Step 2: Convert to fraction form
   3,540.86/4,886.16 = 2,214.50/x
3. Step 3: Cross multiply
   3,540.86x = 4,886.16 × 2,214.50
4. Step 4: Simplify right side
   3,540.86x = 10,820,401.32
5. Step 5: Solve for x
   x = 10,820,401.32/3,540.86
6. Step 6: Final answer
   x = 3,055.87