Finding the Fourth Proportional to 1,965.09, 2,946.43 and 838.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,965.09 : 2,946.43 = 838.03 : x
2. Step 2: Convert to fraction form
   1,965.09/2,946.43 = 838.03/x
3. Step 3: Cross multiply
   1,965.09x = 2,946.43 × 838.03
4. Step 4: Simplify right side
   1,965.09x = 2,469,196.73
5. Step 5: Solve for x
   x = 2,469,196.73/1,965.09
6. Step 6: Final answer
   x = 1,256.53