Finding the Fourth Proportional to 1,608.16, 2,409.49 and 878.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.16 : 2,409.49 = 878.25 : x
2. Step 2: Convert to fraction form
   1,608.16/2,409.49 = 878.25/x
3. Step 3: Cross multiply
   1,608.16x = 2,409.49 × 878.25
4. Step 4: Simplify right side
   1,608.16x = 2,116,134.59
5. Step 5: Solve for x
   x = 2,116,134.59/1,608.16
6. Step 6: Final answer
   x = 1,315.87