Finding the Fourth Proportional to 1,871.60, 2,584.89 and 1,456.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,871.60 : 2,584.89 = 1,456.94 : x
2. Step 2: Convert to fraction form
   1,871.60/2,584.89 = 1,456.94/x
3. Step 3: Cross multiply
   1,871.60x = 2,584.89 × 1,456.94
4. Step 4: Simplify right side
   1,871.60x = 3,766,016.71
5. Step 5: Solve for x
   x = 3,766,016.71/1,871.60
6. Step 6: Final answer
   x = 2,012.20