Finding the Fourth Proportional to 10,404.20, 15,613.14 and 3,830.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404.20 : 15,613.14 = 3,830.47 : x
2. Step 2: Convert to fraction form
   10,404.20/15,613.14 = 3,830.47/x
3. Step 3: Cross multiply
   10,404.20x = 15,613.14 × 3,830.47
4. Step 4: Simplify right side
   10,404.20x = 59,805,664.38
5. Step 5: Solve for x
   x = 59,805,664.38/10,404.20
6. Step 6: Final answer
   x = 5,748.22