Finding the Fourth Proportional to 3,109.16, 4,664.56 and 1,161.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,109.16 : 4,664.56 = 1,161.52 : x
2. Step 2: Convert to fraction form
   3,109.16/4,664.56 = 1,161.52/x
3. Step 3: Cross multiply
   3,109.16x = 4,664.56 × 1,161.52
4. Step 4: Simplify right side
   3,109.16x = 5,417,979.73
5. Step 5: Solve for x
   x = 5,417,979.73/3,109.16
6. Step 6: Final answer
   x = 1,742.59