Finding the Fourth Proportional to 5,377.82, 8,065.25 and 3,813.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,377.82 : 8,065.25 = 3,813.20 : x
2. Step 2: Convert to fraction form
   5,377.82/8,065.25 = 3,813.20/x
3. Step 3: Cross multiply
   5,377.82x = 8,065.25 × 3,813.20
4. Step 4: Simplify right side
   5,377.82x = 30,754,408.41
5. Step 5: Solve for x
   x = 30,754,408.41/5,377.82
6. Step 6: Final answer
   x = 5,718.75