Finding the Fourth Proportional to 1,227.69, 1,694.39 and 854.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.69 : 1,694.39 = 854.01 : x
2. Step 2: Convert to fraction form
   1,227.69/1,694.39 = 854.01/x
3. Step 3: Cross multiply
   1,227.69x = 1,694.39 × 854.01
4. Step 4: Simplify right side
   1,227.69x = 1,447,021.73
5. Step 5: Solve for x
   x = 1,447,021.73/1,227.69
6. Step 6: Final answer
   x = 1,178.65