Finding the Fourth Proportional to 3,109.72, 4,664.42 and 1,161.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,109.72 : 4,664.42 = 1,161.78 : x
2. Step 2: Convert to fraction form
   3,109.72/4,664.42 = 1,161.78/x
3. Step 3: Cross multiply
   3,109.72x = 4,664.42 × 1,161.78
4. Step 4: Simplify right side
   3,109.72x = 5,419,029.87
5. Step 5: Solve for x
   x = 5,419,029.87/3,109.72
6. Step 6: Final answer
   x = 1,742.61