Finding the Fourth Proportional to 2,814.50, 3,883.76 and 1,619.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,814.50 : 3,883.76 = 1,619.42 : x
2. Step 2: Convert to fraction form
   2,814.50/3,883.76 = 1,619.42/x
3. Step 3: Cross multiply
   2,814.50x = 3,883.76 × 1,619.42
4. Step 4: Simplify right side
   2,814.50x = 6,289,411.10
5. Step 5: Solve for x
   x = 6,289,411.10/2,814.50
6. Step 6: Final answer
   x = 2,234.65