Finding the Fourth Proportional to 5,424.16, 8,138.78 and 3,760.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,424.16 : 8,138.78 = 3,760.82 : x
2. Step 2: Convert to fraction form
   5,424.16/8,138.78 = 3,760.82/x
3. Step 3: Cross multiply
   5,424.16x = 8,138.78 × 3,760.82
4. Step 4: Simplify right side
   5,424.16x = 30,608,486.60
5. Step 5: Solve for x
   x = 30,608,486.60/5,424.16
6. Step 6: Final answer
   x = 5,642.99