Finding the Fourth Proportional to 2,011.92, 3,016.56 and 971.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,011.92 : 3,016.56 = 971.64 : x
2. Step 2: Convert to fraction form
   2,011.92/3,016.56 = 971.64/x
3. Step 3: Cross multiply
   2,011.92x = 3,016.56 × 971.64
4. Step 4: Simplify right side
   2,011.92x = 2,931,010.36
5. Step 5: Solve for x
   x = 2,931,010.36/2,011.92
6. Step 6: Final answer
   x = 1,456.82