Finding the Fourth Proportional to 2,056.67, 3,096.38 and 1,411.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,056.67 : 3,096.38 = 1,411.64 : x
2. Step 2: Convert to fraction form
   2,056.67/3,096.38 = 1,411.64/x
3. Step 3: Cross multiply
   2,056.67x = 3,096.38 × 1,411.64
4. Step 4: Simplify right side
   2,056.67x = 4,370,951.32
5. Step 5: Solve for x
   x = 4,370,951.32/2,056.67
6. Step 6: Final answer
   x = 2,125.26