Finding the Fourth Proportional to 2,109.35, 3,160.67 and 1,413.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.35 : 3,160.67 = 1,413.46 : x
2. Step 2: Convert to fraction form
   2,109.35/3,160.67 = 1,413.46/x
3. Step 3: Cross multiply
   2,109.35x = 3,160.67 × 1,413.46
4. Step 4: Simplify right side
   2,109.35x = 4,467,476.25
5. Step 5: Solve for x
   x = 4,467,476.25/2,109.35
6. Step 6: Final answer
   x = 2,117.94