Finding the Fourth Proportional to 1,427.14, 1,969.27 and 797.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.14 : 1,969.27 = 797.65 : x
2. Step 2: Convert to fraction form
   1,427.14/1,969.27 = 797.65/x
3. Step 3: Cross multiply
   1,427.14x = 1,969.27 × 797.65
4. Step 4: Simplify right side
   1,427.14x = 1,570,783.54
5. Step 5: Solve for x
   x = 1,570,783.54/1,427.14
6. Step 6: Final answer
   x = 1,100.65