Finding the Fourth Proportional to 3,686.57, 5,516.86 and 2,300.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686.57 : 5,516.86 = 2,300.55 : x
2. Step 2: Convert to fraction form
   3,686.57/5,516.86 = 2,300.55/x
3. Step 3: Cross multiply
   3,686.57x = 5,516.86 × 2,300.55
4. Step 4: Simplify right side
   3,686.57x = 12,691,806.52
5. Step 5: Solve for x
   x = 12,691,806.52/3,686.57
6. Step 6: Final answer
   x = 3,442.72