Finding the Fourth Proportional to 10,405, 15,609.06 and 3,830.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405 : 15,609.06 = 3,830.69 : x
2. Step 2: Convert to fraction form
   10,405/15,609.06 = 3,830.69/x
3. Step 3: Cross multiply
   10,405x = 15,609.06 × 3,830.69
4. Step 4: Simplify right side
   10,405x = 59,793,470.05
5. Step 5: Solve for x
   x = 59,793,470.05/10,405
6. Step 6: Final answer
   x = 5,746.61