Finding the Fourth Proportional to 5,082.86, 7,016.64 and 3,824.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,082.86 : 7,016.64 = 3,824.31 : x
2. Step 2: Convert to fraction form
   5,082.86/7,016.64 = 3,824.31/x
3. Step 3: Cross multiply
   5,082.86x = 7,016.64 × 3,824.31
4. Step 4: Simplify right side
   5,082.86x = 26,833,806.52
5. Step 5: Solve for x
   x = 26,833,806.52/5,082.86
6. Step 6: Final answer
   x = 5,279.28