Finding the Fourth Proportional to 7,082.82, 9,774.15 and 3,938.94

Step by Step Solution

1. Step 1: Write the proportion equation
   7,082.82 : 9,774.15 = 3,938.94 : x
2. Step 2: Convert to fraction form
   7,082.82/9,774.15 = 3,938.94/x
3. Step 3: Cross multiply
   7,082.82x = 9,774.15 × 3,938.94
4. Step 4: Simplify right side
   7,082.82x = 38,499,790.40
5. Step 5: Solve for x
   x = 38,499,790.40/7,082.82
6. Step 6: Final answer
   x = 5,435.66