Finding the Fourth Proportional to 5,111.46, 7,667.10 and 1,413.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.46 : 7,667.10 = 1,413.27 : x
2. Step 2: Convert to fraction form
   5,111.46/7,667.10 = 1,413.27/x
3. Step 3: Cross multiply
   5,111.46x = 7,667.10 × 1,413.27
4. Step 4: Simplify right side
   5,111.46x = 10,835,682.42
5. Step 5: Solve for x
   x = 10,835,682.42/5,111.46
6. Step 6: Final answer
   x = 2,119.88