Finding the Fourth Proportional to 2,569.60, 3,850.56 and 1,413.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.60 : 3,850.56 = 1,413.76 : x
2. Step 2: Convert to fraction form
   2,569.60/3,850.56 = 1,413.76/x
3. Step 3: Cross multiply
   2,569.60x = 3,850.56 × 1,413.76
4. Step 4: Simplify right side
   2,569.60x = 5,443,767.71
5. Step 5: Solve for x
   x = 5,443,767.71/2,569.60
6. Step 6: Final answer
   x = 2,118.53