Finding the Fourth Proportional to 3,693.57, 5,096.96 and 2,014.95

Step by Step Solution

1. Step 1: Write the proportion equation
   3,693.57 : 5,096.96 = 2,014.95 : x
2. Step 2: Convert to fraction form
   3,693.57/5,096.96 = 2,014.95/x
3. Step 3: Cross multiply
   3,693.57x = 5,096.96 × 2,014.95
4. Step 4: Simplify right side
   3,693.57x = 10,270,109.48
5. Step 5: Solve for x
   x = 10,270,109.48/3,693.57
6. Step 6: Final answer
   x = 2,780.54