Finding the Fourth Proportional to 1,427.50, 1,969.95 and 806.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.50 : 1,969.95 = 806.62 : x
2. Step 2: Convert to fraction form
   1,427.50/1,969.95 = 806.62/x
3. Step 3: Cross multiply
   1,427.50x = 1,969.95 × 806.62
4. Step 4: Simplify right side
   1,427.50x = 1,589,001.07
5. Step 5: Solve for x
   x = 1,589,001.07/1,427.50
6. Step 6: Final answer
   x = 1,113.14