Finding the Fourth Proportional to 2,281.80, 3,419.57 and 1,109.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,281.80 : 3,419.57 = 1,109.47 : x
2. Step 2: Convert to fraction form
   2,281.80/3,419.57 = 1,109.47/x
3. Step 3: Cross multiply
   2,281.80x = 3,419.57 × 1,109.47
4. Step 4: Simplify right side
   2,281.80x = 3,793,914.34
5. Step 5: Solve for x
   x = 3,793,914.34/2,281.80
6. Step 6: Final answer
   x = 1,662.69