Finding the Fourth Proportional to 5,111.39, 7,667.06 and 1,413.62

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.39 : 7,667.06 = 1,413.62 : x
2. Step 2: Convert to fraction form
   5,111.39/7,667.06 = 1,413.62/x
3. Step 3: Cross multiply
   5,111.39x = 7,667.06 × 1,413.62
4. Step 4: Simplify right side
   5,111.39x = 10,838,271.02
5. Step 5: Solve for x
   x = 10,838,271.02/5,111.39
6. Step 6: Final answer
   x = 2,120.42