Finding the Fourth Proportional to 1,344.94, 1,856.32 and 821.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,344.94 : 1,856.32 = 821.27 : x
2. Step 2: Convert to fraction form
   1,344.94/1,856.32 = 821.27/x
3. Step 3: Cross multiply
   1,344.94x = 1,856.32 × 821.27
4. Step 4: Simplify right side
   1,344.94x = 1,524,542.51
5. Step 5: Solve for x
   x = 1,524,542.51/1,344.94
6. Step 6: Final answer
   x = 1,133.54