Finding the Fourth Proportional to 2,560.77, 3,838.46 and 1,099.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.77 : 3,838.46 = 1,099.53 : x
2. Step 2: Convert to fraction form
   2,560.77/3,838.46 = 1,099.53/x
3. Step 3: Cross multiply
   2,560.77x = 3,838.46 × 1,099.53
4. Step 4: Simplify right side
   2,560.77x = 4,220,496.43
5. Step 5: Solve for x
   x = 4,220,496.43/2,560.77
6. Step 6: Final answer
   x = 1,648.14