Finding the Fourth Proportional to 7,082.30, 9,773.64 and 3,852.15

Step by Step Solution

1. Step 1: Write the proportion equation
   7,082.30 : 9,773.64 = 3,852.15 : x
2. Step 2: Convert to fraction form
   7,082.30/9,773.64 = 3,852.15/x
3. Step 3: Cross multiply
   7,082.30x = 9,773.64 × 3,852.15
4. Step 4: Simplify right side
   7,082.30x = 37,649,459.20
5. Step 5: Solve for x
   x = 37,649,459.20/7,082.30
6. Step 6: Final answer
   x = 5,315.99