Finding the Fourth Proportional to 1,645.56, 2,271.12 and 946.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,645.56 : 2,271.12 = 946.80 : x
2. Step 2: Convert to fraction form
   1,645.56/2,271.12 = 946.80/x
3. Step 3: Cross multiply
   1,645.56x = 2,271.12 × 946.80
4. Step 4: Simplify right side
   1,645.56x = 2,150,296.42
5. Step 5: Solve for x
   x = 2,150,296.42/1,645.56
6. Step 6: Final answer
   x = 1,306.73