Finding the Fourth Proportional to 1,393.25, 1,922.61 and 826.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,393.25 : 1,922.61 = 826.44 : x
2. Step 2: Convert to fraction form
   1,393.25/1,922.61 = 826.44/x
3. Step 3: Cross multiply
   1,393.25x = 1,922.61 × 826.44
4. Step 4: Simplify right side
   1,393.25x = 1,588,921.81
5. Step 5: Solve for x
   x = 1,588,921.81/1,393.25
6. Step 6: Final answer
   x = 1,140.44