Finding the Fourth Proportional to 1,072.67, 1,606.57 and 878.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.67 : 1,606.57 = 878.27 : x
2. Step 2: Convert to fraction form
   1,072.67/1,606.57 = 878.27/x
3. Step 3: Cross multiply
   1,072.67x = 1,606.57 × 878.27
4. Step 4: Simplify right side
   1,072.67x = 1,410,992.01
5. Step 5: Solve for x
   x = 1,410,992.01/1,072.67
6. Step 6: Final answer
   x = 1,315.41