Finding the Fourth Proportional to 2,077.46, 3,111.60 and 1,611.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.46 : 3,111.60 = 1,611.60 : x
2. Step 2: Convert to fraction form
   2,077.46/3,111.60 = 1,611.60/x
3. Step 3: Cross multiply
   2,077.46x = 3,111.60 × 1,611.60
4. Step 4: Simplify right side
   2,077.46x = 5,014,654.56
5. Step 5: Solve for x
   x = 5,014,654.56/2,077.46
6. Step 6: Final answer
   x = 2,413.84