Finding the Fourth Proportional to 2,280.81, 3,414.66 and 1,409.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,280.81 : 3,414.66 = 1,409.25 : x
2. Step 2: Convert to fraction form
   2,280.81/3,414.66 = 1,409.25/x
3. Step 3: Cross multiply
   2,280.81x = 3,414.66 × 1,409.25
4. Step 4: Simplify right side
   2,280.81x = 4,812,109.61
5. Step 5: Solve for x
   x = 4,812,109.61/2,280.81
6. Step 6: Final answer
   x = 2,109.82