Finding the Fourth Proportional to 1,456.42, 2,009.70 and 826.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.42 : 2,009.70 = 826.90 : x
2. Step 2: Convert to fraction form
   1,456.42/2,009.70 = 826.90/x
3. Step 3: Cross multiply
   1,456.42x = 2,009.70 × 826.90
4. Step 4: Simplify right side
   1,456.42x = 1,661,820.93
5. Step 5: Solve for x
   x = 1,661,820.93/1,456.42
6. Step 6: Final answer
   x = 1,141.03