Finding the Fourth Proportional to 7,017.60, 9,684.24 and 3,830.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,017.60 : 9,684.24 = 3,830.82 : x
2. Step 2: Convert to fraction form
   7,017.60/9,684.24 = 3,830.82/x
3. Step 3: Cross multiply
   7,017.60x = 9,684.24 × 3,830.82
4. Step 4: Simplify right side
   7,017.60x = 37,098,580.28
5. Step 5: Solve for x
   x = 37,098,580.28/7,017.60
6. Step 6: Final answer
   x = 5,286.51