Finding the Fourth Proportional to 10,434.81, 15,648.12 and 3,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434.81 : 15,648.12 = 3,856.50 : x
2. Step 2: Convert to fraction form
   10,434.81/15,648.12 = 3,856.50/x
3. Step 3: Cross multiply
   10,434.81x = 15,648.12 × 3,856.50
4. Step 4: Simplify right side
   10,434.81x = 60,346,974.78
5. Step 5: Solve for x
   x = 60,346,974.78/10,434.81
6. Step 6: Final answer
   x = 5,783.24