Finding the Fourth Proportional to 7,016.88, 9,683.16 and 3,830.20

Step by Step Solution

1. Step 1: Write the proportion equation
   7,016.88 : 9,683.16 = 3,830.20 : x
2. Step 2: Convert to fraction form
   7,016.88/9,683.16 = 3,830.20/x
3. Step 3: Cross multiply
   7,016.88x = 9,683.16 × 3,830.20
4. Step 4: Simplify right side
   7,016.88x = 37,088,439.43
5. Step 5: Solve for x
   x = 37,088,439.43/7,016.88
6. Step 6: Final answer
   x = 5,285.60