Finding the Fourth Proportional to 5,111.24, 7,666.80 and 1,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.24 : 7,666.80 = 1,413.50 : x
2. Step 2: Convert to fraction form
   5,111.24/7,666.80 = 1,413.50/x
3. Step 3: Cross multiply
   5,111.24x = 7,666.80 × 1,413.50
4. Step 4: Simplify right side
   5,111.24x = 10,837,021.80
5. Step 5: Solve for x
   x = 10,837,021.80/5,111.24
6. Step 6: Final answer
   x = 2,120.23