Finding the Fourth Proportional to 5,111.50, 7,667.70 and 1,413.74

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.50 : 7,667.70 = 1,413.74 : x
2. Step 2: Convert to fraction form
   5,111.50/7,667.70 = 1,413.74/x
3. Step 3: Cross multiply
   5,111.50x = 7,667.70 × 1,413.74
4. Step 4: Simplify right side
   5,111.50x = 10,840,134.20
5. Step 5: Solve for x
   x = 10,840,134.20/5,111.50
6. Step 6: Final answer
   x = 2,120.73