Finding the Fourth Proportional to 1,436.67, 1,982.57 and 807.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,436.67 : 1,982.57 = 807.20 : x
2. Step 2: Convert to fraction form
   1,436.67/1,982.57 = 807.20/x
3. Step 3: Cross multiply
   1,436.67x = 1,982.57 × 807.20
4. Step 4: Simplify right side
   1,436.67x = 1,600,330.50
5. Step 5: Solve for x
   x = 1,600,330.50/1,436.67
6. Step 6: Final answer
   x = 1,113.92