Finding the Fourth Proportional to 1,892.34, 2,839.38 and 851.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.34 : 2,839.38 = 851.78 : x
2. Step 2: Convert to fraction form
   1,892.34/2,839.38 = 851.78/x
3. Step 3: Cross multiply
   1,892.34x = 2,839.38 × 851.78
4. Step 4: Simplify right side
   1,892.34x = 2,418,512.90
5. Step 5: Solve for x
   x = 2,418,512.90/1,892.34
6. Step 6: Final answer
   x = 1,278.05