Finding the Fourth Proportional to 9,673.48, 14,512.65 and 3,830.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,673.48 : 14,512.65 = 3,830.14 : x
2. Step 2: Convert to fraction form
   9,673.48/14,512.65 = 3,830.14/x
3. Step 3: Cross multiply
   9,673.48x = 14,512.65 × 3,830.14
4. Step 4: Simplify right side
   9,673.48x = 55,585,481.27
5. Step 5: Solve for x
   x = 55,585,481.27/9,673.48
6. Step 6: Final answer
   x = 5,746.17