Finding the Fourth Proportional to 1,456.19, 2,009.60 and 835.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.19 : 2,009.60 = 835.31 : x
2. Step 2: Convert to fraction form
   1,456.19/2,009.60 = 835.31/x
3. Step 3: Cross multiply
   1,456.19x = 2,009.60 × 835.31
4. Step 4: Simplify right side
   1,456.19x = 1,678,638.98
5. Step 5: Solve for x
   x = 1,678,638.98/1,456.19
6. Step 6: Final answer
   x = 1,152.76