Finding the Fourth Proportional to 5,111.79, 7,666.77 and 1,413.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.79 : 7,666.77 = 1,413.16 : x
2. Step 2: Convert to fraction form
   5,111.79/7,666.77 = 1,413.16/x
3. Step 3: Cross multiply
   5,111.79x = 7,666.77 × 1,413.16
4. Step 4: Simplify right side
   5,111.79x = 10,834,372.69
5. Step 5: Solve for x
   x = 10,834,372.69/5,111.79
6. Step 6: Final answer
   x = 2,119.49