Finding the Fourth Proportional to 9,410.78, 12,986.55 and 5,219.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,410.78 : 12,986.55 = 5,219.42 : x
2. Step 2: Convert to fraction form
   9,410.78/12,986.55 = 5,219.42/x
3. Step 3: Cross multiply
   9,410.78x = 12,986.55 × 5,219.42
4. Step 4: Simplify right side
   9,410.78x = 67,782,258.80
5. Step 5: Solve for x
   x = 67,782,258.80/9,410.78
6. Step 6: Final answer
   x = 7,202.62