Finding the Fourth Proportional to 3,189.29, 4,784.81 and 1,109.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,189.29 : 4,784.81 = 1,109.41 : x
2. Step 2: Convert to fraction form
   3,189.29/4,784.81 = 1,109.41/x
3. Step 3: Cross multiply
   3,189.29x = 4,784.81 × 1,109.41
4. Step 4: Simplify right side
   3,189.29x = 5,308,325.47
5. Step 5: Solve for x
   x = 5,308,325.47/3,189.29
6. Step 6: Final answer
   x = 1,664.42