Finding the Fourth Proportional to 11,855.75, 17,782.16 and 7,413.81

Step by Step Solution

1. Step 1: Write the proportion equation
   11,855.75 : 17,782.16 = 7,413.81 : x
2. Step 2: Convert to fraction form
   11,855.75/17,782.16 = 7,413.81/x
3. Step 3: Cross multiply
   11,855.75x = 17,782.16 × 7,413.81
4. Step 4: Simplify right side
   11,855.75x = 131,833,518.56
5. Step 5: Solve for x
   x = 131,833,518.56/11,855.75
6. Step 6: Final answer
   x = 11,119.80