Finding the Fourth Proportional to 4,846.62, 7,258.71 and 4,136.10

Step by Step Solution

1. Step 1: Write the proportion equation
   4,846.62 : 7,258.71 = 4,136.10 : x
2. Step 2: Convert to fraction form
   4,846.62/7,258.71 = 4,136.10/x
3. Step 3: Cross multiply
   4,846.62x = 7,258.71 × 4,136.10
4. Step 4: Simplify right side
   4,846.62x = 30,022,750.43
5. Step 5: Solve for x
   x = 30,022,750.43/4,846.62
6. Step 6: Final answer
   x = 6,194.57