Finding the Fourth Proportional to 7,082.98, 9,774.57 and 3,852.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,082.98 : 9,774.57 = 3,852.82 : x
2. Step 2: Convert to fraction form
   7,082.98/9,774.57 = 3,852.82/x
3. Step 3: Cross multiply
   7,082.98x = 9,774.57 × 3,852.82
4. Step 4: Simplify right side
   7,082.98x = 37,659,630.47
5. Step 5: Solve for x
   x = 37,659,630.47/7,082.98
6. Step 6: Final answer
   x = 5,316.92