Finding the Fourth Proportional to 3,105.56, 4,656.90 and 1,157.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,105.56 : 4,656.90 = 1,157.24 : x
2. Step 2: Convert to fraction form
   3,105.56/4,656.90 = 1,157.24/x
3. Step 3: Cross multiply
   3,105.56x = 4,656.90 × 1,157.24
4. Step 4: Simplify right side
   3,105.56x = 5,389,150.96
5. Step 5: Solve for x
   x = 5,389,150.96/3,105.56
6. Step 6: Final answer
   x = 1,735.32