Finding the Fourth Proportional to 3,693.69, 5,089.57 and 2,512.71

Step by Step Solution

1. Step 1: Write the proportion equation
   3,693.69 : 5,089.57 = 2,512.71 : x
2. Step 2: Convert to fraction form
   3,693.69/5,089.57 = 2,512.71/x
3. Step 3: Cross multiply
   3,693.69x = 5,089.57 × 2,512.71
4. Step 4: Simplify right side
   3,693.69x = 12,788,607.15
5. Step 5: Solve for x
   x = 12,788,607.15/3,693.69
6. Step 6: Final answer
   x = 3,462.28