Finding the Fourth Proportional to 1,266.78, 1,900.59 and 854.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266.78 : 1,900.59 = 854.82 : x
2. Step 2: Convert to fraction form
   1,266.78/1,900.59 = 854.82/x
3. Step 3: Cross multiply
   1,266.78x = 1,900.59 × 854.82
4. Step 4: Simplify right side
   1,266.78x = 1,624,662.34
5. Step 5: Solve for x
   x = 1,624,662.34/1,266.78
6. Step 6: Final answer
   x = 1,282.51