Finding the Fourth Proportional to 10,405.30, 15,600.66 and 3,830.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.30 : 15,600.66 = 3,830.62 : x
2. Step 2: Convert to fraction form
   10,405.30/15,600.66 = 3,830.62/x
3. Step 3: Cross multiply
   10,405.30x = 15,600.66 × 3,830.62
4. Step 4: Simplify right side
   10,405.30x = 59,760,200.21
5. Step 5: Solve for x
   x = 59,760,200.21/10,405.30
6. Step 6: Final answer
   x = 5,743.25