Finding the Fourth Proportional to 7,082.71, 9,774.50 and 3,938.83

Step by Step Solution

1. Step 1: Write the proportion equation
   7,082.71 : 9,774.50 = 3,938.83 : x
2. Step 2: Convert to fraction form
   7,082.71/9,774.50 = 3,938.83/x
3. Step 3: Cross multiply
   7,082.71x = 9,774.50 × 3,938.83
4. Step 4: Simplify right side
   7,082.71x = 38,500,093.84
5. Step 5: Solve for x
   x = 38,500,093.84/7,082.71
6. Step 6: Final answer
   x = 5,435.79