Finding the Fourth Proportional to 2,814.02, 3,859.12 and 2,781.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,814.02 : 3,859.12 = 2,781.62 : x
2. Step 2: Convert to fraction form
   2,814.02/3,859.12 = 2,781.62/x
3. Step 3: Cross multiply
   2,814.02x = 3,859.12 × 2,781.62
4. Step 4: Simplify right side
   2,814.02x = 10,734,605.37
5. Step 5: Solve for x
   x = 10,734,605.37/2,814.02
6. Step 6: Final answer
   x = 3,814.69