Finding the Fourth Proportional to 3,684.61, 5,081.83 and 2,605.97

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.61 : 5,081.83 = 2,605.97 : x
2. Step 2: Convert to fraction form
   3,684.61/5,081.83 = 2,605.97/x
3. Step 3: Cross multiply
   3,684.61x = 5,081.83 × 2,605.97
4. Step 4: Simplify right side
   3,684.61x = 13,243,096.53
5. Step 5: Solve for x
   x = 13,243,096.53/3,684.61
6. Step 6: Final answer
   x = 3,594.17