Finding the Fourth Proportional to 1,427.59, 1,970.09 and 806.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.59 : 1,970.09 = 806.59 : x
2. Step 2: Convert to fraction form
   1,427.59/1,970.09 = 806.59/x
3. Step 3: Cross multiply
   1,427.59x = 1,970.09 × 806.59
4. Step 4: Simplify right side
   1,427.59x = 1,589,054.89
5. Step 5: Solve for x
   x = 1,589,054.89/1,427.59
6. Step 6: Final answer
   x = 1,113.10