Finding the Fourth Proportional to 3,851.82, 5,337.84 and 3,778

Step by Step Solution

1. Step 1: Write the proportion equation
   3,851.82 : 5,337.84 = 3,778 : x
2. Step 2: Convert to fraction form
   3,851.82/5,337.84 = 3,778/x
3. Step 3: Cross multiply
   3,851.82x = 5,337.84 × 3,778
4. Step 4: Simplify right side
   3,851.82x = 20,166,359.52
5. Step 5: Solve for x
   x = 20,166,359.52/3,851.82
6. Step 6: Final answer
   x = 5,235.54