Finding the Fourth Proportional to 1,026.27, 1,540.71 and 795.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.27 : 1,540.71 = 795.33 : x
2. Step 2: Convert to fraction form
   1,026.27/1,540.71 = 795.33/x
3. Step 3: Cross multiply
   1,026.27x = 1,540.71 × 795.33
4. Step 4: Simplify right side
   1,026.27x = 1,225,372.88
5. Step 5: Solve for x
   x = 1,225,372.88/1,026.27
6. Step 6: Final answer
   x = 1,194.01