Finding the Fourth Proportional to 12,834.10, 19,233.15 and 10,206.10

Step by Step Solution

1. Step 1: Write the proportion equation
   12,834.10 : 19,233.15 = 10,206.10 : x
2. Step 2: Convert to fraction form
   12,834.10/19,233.15 = 10,206.10/x
3. Step 3: Cross multiply
   12,834.10x = 19,233.15 × 10,206.10
4. Step 4: Simplify right side
   12,834.10x = 196,295,452.22
5. Step 5: Solve for x
   x = 196,295,452.22/12,834.10
6. Step 6: Final answer
   x = 15,294.84