Finding the Fourth Proportional to 10,266.25, 14,166.61 and 5,788.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,266.25 : 14,166.61 = 5,788.57 : x
2. Step 2: Convert to fraction form
   10,266.25/14,166.61 = 5,788.57/x
3. Step 3: Cross multiply
   10,266.25x = 14,166.61 × 5,788.57
4. Step 4: Simplify right side
   10,266.25x = 82,004,413.65
5. Step 5: Solve for x
   x = 82,004,413.65/10,266.25
6. Step 6: Final answer
   x = 7,987.77