Finding the Fourth Proportional to 3,693.63, 5,096.76 and 2,258.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,693.63 : 5,096.76 = 2,258.72 : x
2. Step 2: Convert to fraction form
   3,693.63/5,096.76 = 2,258.72/x
3. Step 3: Cross multiply
   3,693.63x = 5,096.76 × 2,258.72
4. Step 4: Simplify right side
   3,693.63x = 11,512,138.91
5. Step 5: Solve for x
   x = 11,512,138.91/3,693.63
6. Step 6: Final answer
   x = 3,116.75