Finding the Fourth Proportional to 1,394.78, 1,924.72 and 805.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,394.78 : 1,924.72 = 805.28 : x
2. Step 2: Convert to fraction form
   1,394.78/1,924.72 = 805.28/x
3. Step 3: Cross multiply
   1,394.78x = 1,924.72 × 805.28
4. Step 4: Simplify right side
   1,394.78x = 1,549,938.52
5. Step 5: Solve for x
   x = 1,549,938.52/1,394.78
6. Step 6: Final answer
   x = 1,111.24