Finding the Fourth Proportional to 3,189.78, 4,782.59 and 1,109.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,189.78 : 4,782.59 = 1,109.63 : x
2. Step 2: Convert to fraction form
   3,189.78/4,782.59 = 1,109.63/x
3. Step 3: Cross multiply
   3,189.78x = 4,782.59 × 1,109.63
4. Step 4: Simplify right side
   3,189.78x = 5,306,884.20
5. Step 5: Solve for x
   x = 5,306,884.20/3,189.78
6. Step 6: Final answer
   x = 1,663.71