Finding the Fourth Proportional to 1,892.54, 2,839.59 and 837.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.54 : 2,839.59 = 837.80 : x
2. Step 2: Convert to fraction form
   1,892.54/2,839.59 = 837.80/x
3. Step 3: Cross multiply
   1,892.54x = 2,839.59 × 837.80
4. Step 4: Simplify right side
   1,892.54x = 2,379,008.50
5. Step 5: Solve for x
   x = 2,379,008.50/1,892.54
6. Step 6: Final answer
   x = 1,257.05