Finding the Fourth Proportional to 13,096, 19,647.60 and 3,862

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096 : 19,647.60 = 3,862 : x
2. Step 2: Convert to fraction form
   13,096/19,647.60 = 3,862/x
3. Step 3: Cross multiply
   13,096x = 19,647.60 × 3,862
4. Step 4: Simplify right side
   13,096x = 75,879,031.20
5. Step 5: Solve for x
   x = 75,879,031.20/13,096
6. Step 6: Final answer
   x = 5,794.06