Finding the Fourth Proportional to 10,946.25, 16,419.42 and 2,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946.25 : 16,419.42 = 2,738.25 : x
2. Step 2: Convert to fraction form
   10,946.25/16,419.42 = 2,738.25/x
3. Step 3: Cross multiply
   10,946.25x = 16,419.42 × 2,738.25
4. Step 4: Simplify right side
   10,946.25x = 44,960,476.82
5. Step 5: Solve for x
   x = 44,960,476.82/10,946.25
6. Step 6: Final answer
   x = 4,107.39