Finding the Fourth Proportional to 1,427.10, 1,969.36 and 806.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.10 : 1,969.36 = 806.10 : x
2. Step 2: Convert to fraction form
   1,427.10/1,969.36 = 806.10/x
3. Step 3: Cross multiply
   1,427.10x = 1,969.36 × 806.10
4. Step 4: Simplify right side
   1,427.10x = 1,587,501.10
5. Step 5: Solve for x
   x = 1,587,501.10/1,427.10
6. Step 6: Final answer
   x = 1,112.40