Finding the Fourth Proportional to 2,069.94, 3,105.80 and 838.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069.94 : 3,105.80 = 838.22 : x
2. Step 2: Convert to fraction form
   2,069.94/3,105.80 = 838.22/x
3. Step 3: Cross multiply
   2,069.94x = 3,105.80 × 838.22
4. Step 4: Simplify right side
   2,069.94x = 2,603,343.68
5. Step 5: Solve for x
   x = 2,603,343.68/2,069.94
6. Step 6: Final answer
   x = 1,257.69