Finding the Fourth Proportional to 1,741.82, 2,609.07 and 1,413.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,741.82 : 2,609.07 = 1,413.86 : x
2. Step 2: Convert to fraction form
   1,741.82/2,609.07 = 1,413.86/x
3. Step 3: Cross multiply
   1,741.82x = 2,609.07 × 1,413.86
4. Step 4: Simplify right side
   1,741.82x = 3,688,859.71
5. Step 5: Solve for x
   x = 3,688,859.71/1,741.82
6. Step 6: Final answer
   x = 2,117.82