Finding the Fourth Proportional to 3,814.14, 5,263.98 and 2,322.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,814.14 : 5,263.98 = 2,322.27 : x
2. Step 2: Convert to fraction form
   3,814.14/5,263.98 = 2,322.27/x
3. Step 3: Cross multiply
   3,814.14x = 5,263.98 × 2,322.27
4. Step 4: Simplify right side
   3,814.14x = 12,224,382.83
5. Step 5: Solve for x
   x = 12,224,382.83/3,814.14
6. Step 6: Final answer
   x = 3,205.02