Finding the Fourth Proportional to 1,456.29, 2,009.16 and 896.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.29 : 2,009.16 = 896.40 : x
2. Step 2: Convert to fraction form
   1,456.29/2,009.16 = 896.40/x
3. Step 3: Cross multiply
   1,456.29x = 2,009.16 × 896.40
4. Step 4: Simplify right side
   1,456.29x = 1,801,011.02
5. Step 5: Solve for x
   x = 1,801,011.02/1,456.29
6. Step 6: Final answer
   x = 1,236.71