Finding the Fourth Proportional to 1,427.31, 1,969.82 and 867.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.31 : 1,969.82 = 867.65 : x
2. Step 2: Convert to fraction form
   1,427.31/1,969.82 = 867.65/x
3. Step 3: Cross multiply
   1,427.31x = 1,969.82 × 867.65
4. Step 4: Simplify right side
   1,427.31x = 1,709,100.14
5. Step 5: Solve for x
   x = 1,709,100.14/1,427.31
6. Step 6: Final answer
   x = 1,197.43