Finding the Fourth Proportional to 7,538.27, 10,401.57 and 4,180.55

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538.27 : 10,401.57 = 4,180.55 : x
2. Step 2: Convert to fraction form
   7,538.27/10,401.57 = 4,180.55/x
3. Step 3: Cross multiply
   7,538.27x = 10,401.57 × 4,180.55
4. Step 4: Simplify right side
   7,538.27x = 43,484,309.47
5. Step 5: Solve for x
   x = 43,484,309.47/7,538.27
6. Step 6: Final answer
   x = 5,768.47