Finding the Fourth Proportional to 2,678.41, 3,698.46 and 2,014.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.41 : 3,698.46 = 2,014.10 : x
2. Step 2: Convert to fraction form
   2,678.41/3,698.46 = 2,014.10/x
3. Step 3: Cross multiply
   2,678.41x = 3,698.46 × 2,014.10
4. Step 4: Simplify right side
   2,678.41x = 7,449,068.29
5. Step 5: Solve for x
   x = 7,449,068.29/2,678.41
6. Step 6: Final answer
   x = 2,781.15