Finding the Fourth Proportional to 1,649.75, 2,276.69 and 1,020.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,649.75 : 2,276.69 = 1,020.27 : x
2. Step 2: Convert to fraction form
   1,649.75/2,276.69 = 1,020.27/x
3. Step 3: Cross multiply
   1,649.75x = 2,276.69 × 1,020.27
4. Step 4: Simplify right side
   1,649.75x = 2,322,845.58
5. Step 5: Solve for x
   x = 2,322,845.58/1,649.75
6. Step 6: Final answer
   x = 1,407.99