Finding the Fourth Proportional to 3,057.69, 4,584.50 and 1,109.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,057.69 : 4,584.50 = 1,109.64 : x
2. Step 2: Convert to fraction form
   3,057.69/4,584.50 = 1,109.64/x
3. Step 3: Cross multiply
   3,057.69x = 4,584.50 × 1,109.64
4. Step 4: Simplify right side
   3,057.69x = 5,087,144.58
5. Step 5: Solve for x
   x = 5,087,144.58/3,057.69
6. Step 6: Final answer
   x = 1,663.72