Finding the Fourth Proportional to 5,082.71, 7,016.52 and 3,824.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,082.71 : 7,016.52 = 3,824.24 : x
2. Step 2: Convert to fraction form
   5,082.71/7,016.52 = 3,824.24/x
3. Step 3: Cross multiply
   5,082.71x = 7,016.52 × 3,824.24
4. Step 4: Simplify right side
   5,082.71x = 26,832,855.44
5. Step 5: Solve for x
   x = 26,832,855.44/5,082.71
6. Step 6: Final answer
   x = 5,279.24