Finding the Fourth Proportional to 2,560.24, 3,839.16 and 916.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.24 : 3,839.16 = 916.16 : x
2. Step 2: Convert to fraction form
   2,560.24/3,839.16 = 916.16/x
3. Step 3: Cross multiply
   2,560.24x = 3,839.16 × 916.16
4. Step 4: Simplify right side
   2,560.24x = 3,517,284.83
5. Step 5: Solve for x
   x = 3,517,284.83/2,560.24
6. Step 6: Final answer
   x = 1,373.81