Finding the Fourth Proportional to 12,786.84, 17,648.10 and 10,154.34

Step by Step Solution

1. Step 1: Write the proportion equation
   12,786.84 : 17,648.10 = 10,154.34 : x
2. Step 2: Convert to fraction form
   12,786.84/17,648.10 = 10,154.34/x
3. Step 3: Cross multiply
   12,786.84x = 17,648.10 × 10,154.34
4. Step 4: Simplify right side
   12,786.84x = 179,204,807.75
5. Step 5: Solve for x
   x = 179,204,807.75/12,786.84
6. Step 6: Final answer
   x = 14,014.78