Finding the Fourth Proportional to 2,814.10, 4,210.56 and 1,684.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,814.10 : 4,210.56 = 1,684.18 : x
2. Step 2: Convert to fraction form
   2,814.10/4,210.56 = 1,684.18/x
3. Step 3: Cross multiply
   2,814.10x = 4,210.56 × 1,684.18
4. Step 4: Simplify right side
   2,814.10x = 7,091,340.94
5. Step 5: Solve for x
   x = 7,091,340.94/2,814.10
6. Step 6: Final answer
   x = 2,519.93