Finding the Fourth Proportional to 2,566.56, 3,848.22 and 1,413.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.56 : 3,848.22 = 1,413.12 : x
2. Step 2: Convert to fraction form
   2,566.56/3,848.22 = 1,413.12/x
3. Step 3: Cross multiply
   2,566.56x = 3,848.22 × 1,413.12
4. Step 4: Simplify right side
   2,566.56x = 5,437,996.65
5. Step 5: Solve for x
   x = 5,437,996.65/2,566.56
6. Step 6: Final answer
   x = 2,118.79