Finding the Fourth Proportional to 2,282.09, 3,421.76 and 1,109.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,282.09 : 3,421.76 = 1,109.78 : x
2. Step 2: Convert to fraction form
   2,282.09/3,421.76 = 1,109.78/x
3. Step 3: Cross multiply
   2,282.09x = 3,421.76 × 1,109.78
4. Step 4: Simplify right side
   2,282.09x = 3,797,400.81
5. Step 5: Solve for x
   x = 3,797,400.81/2,282.09
6. Step 6: Final answer
   x = 1,664.00