Finding the Fourth Proportional to 5,111.33, 7,666.97 and 1,413.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.33 : 7,666.97 = 1,413.52 : x
2. Step 2: Convert to fraction form
   5,111.33/7,666.97 = 1,413.52/x
3. Step 3: Cross multiply
   5,111.33x = 7,666.97 × 1,413.52
4. Step 4: Simplify right side
   5,111.33x = 10,837,389.20
5. Step 5: Solve for x
   x = 10,837,389.20/5,111.33
6. Step 6: Final answer
   x = 2,120.27