Finding the Fourth Proportional to 5,111.01, 7,666.95 and 1,413.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.01 : 7,666.95 = 1,413.24 : x
2. Step 2: Convert to fraction form
   5,111.01/7,666.95 = 1,413.24/x
3. Step 3: Cross multiply
   5,111.01x = 7,666.95 × 1,413.24
4. Step 4: Simplify right side
   5,111.01x = 10,835,240.42
5. Step 5: Solve for x
   x = 10,835,240.42/5,111.01
6. Step 6: Final answer
   x = 2,119.98