Finding the Fourth Proportional to 5,111.30, 7,665.54 and 1,413.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.30 : 7,665.54 = 1,413.25 : x
2. Step 2: Convert to fraction form
   5,111.30/7,665.54 = 1,413.25/x
3. Step 3: Cross multiply
   5,111.30x = 7,665.54 × 1,413.25
4. Step 4: Simplify right side
   5,111.30x = 10,833,299.94
5. Step 5: Solve for x
   x = 10,833,299.94/5,111.30
6. Step 6: Final answer
   x = 2,119.48