Finding the Fourth Proportional to 5,185.55, 7,760.10 and 3,618.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185.55 : 7,760.10 = 3,618.20 : x
2. Step 2: Convert to fraction form
   5,185.55/7,760.10 = 3,618.20/x
3. Step 3: Cross multiply
   5,185.55x = 7,760.10 × 3,618.20
4. Step 4: Simplify right side
   5,185.55x = 28,077,593.82
5. Step 5: Solve for x
   x = 28,077,593.82/5,185.55
6. Step 6: Final answer
   x = 5,414.58