Finding the Fourth Proportional to 2,456.17, 3,678.56 and 1,413.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.17 : 3,678.56 = 1,413.59 : x
2. Step 2: Convert to fraction form
   2,456.17/3,678.56 = 1,413.59/x
3. Step 3: Cross multiply
   2,456.17x = 3,678.56 × 1,413.59
4. Step 4: Simplify right side
   2,456.17x = 5,199,950.17
5. Step 5: Solve for x
   x = 5,199,950.17/2,456.17
6. Step 6: Final answer
   x = 2,117.10