Finding the Fourth Proportional to 1,152.78, 1,726.73 and 805.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.78 : 1,726.73 = 805.29 : x
2. Step 2: Convert to fraction form
   1,152.78/1,726.73 = 805.29/x
3. Step 3: Cross multiply
   1,152.78x = 1,726.73 × 805.29
4. Step 4: Simplify right side
   1,152.78x = 1,390,514.38
5. Step 5: Solve for x
   x = 1,390,514.38/1,152.78
6. Step 6: Final answer
   x = 1,206.23