Finding the Fourth Proportional to 2,814.27, 3,870.86 and 2,306.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,814.27 : 3,870.86 = 2,306.48 : x
2. Step 2: Convert to fraction form
   2,814.27/3,870.86 = 2,306.48/x
3. Step 3: Cross multiply
   2,814.27x = 3,870.86 × 2,306.48
4. Step 4: Simplify right side
   2,814.27x = 8,928,061.17
5. Step 5: Solve for x
   x = 8,928,061.17/2,814.27
6. Step 6: Final answer
   x = 3,172.43