Finding the Fourth Proportional to 10,225.81, 15,340.34 and 3,205.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,225.81 : 15,340.34 = 3,205.27 : x
2. Step 2: Convert to fraction form
   10,225.81/15,340.34 = 3,205.27/x
3. Step 3: Cross multiply
   10,225.81x = 15,340.34 × 3,205.27
4. Step 4: Simplify right side
   10,225.81x = 49,169,931.59
5. Step 5: Solve for x
   x = 49,169,931.59/10,225.81
6. Step 6: Final answer
   x = 4,808.41