Finding the Fourth Proportional to 1,257.78, 1,736.33 and 838.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,257.78 : 1,736.33 = 838.83 : x
2. Step 2: Convert to fraction form
   1,257.78/1,736.33 = 838.83/x
3. Step 3: Cross multiply
   1,257.78x = 1,736.33 × 838.83
4. Step 4: Simplify right side
   1,257.78x = 1,456,481.50
5. Step 5: Solve for x
   x = 1,456,481.50/1,257.78
6. Step 6: Final answer
   x = 1,157.98