Finding the Fourth Proportional to 5,111.24, 7,666.43 and 1,413.18

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.24 : 7,666.43 = 1,413.18 : x
2. Step 2: Convert to fraction form
   5,111.24/7,666.43 = 1,413.18/x
3. Step 3: Cross multiply
   5,111.24x = 7,666.43 × 1,413.18
4. Step 4: Simplify right side
   5,111.24x = 10,834,038.48
5. Step 5: Solve for x
   x = 10,834,038.48/5,111.24
6. Step 6: Final answer
   x = 2,119.65