Finding the Fourth Proportional to 10,405.19, 15,613.45 and 3,830.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,405.19 : 15,613.45 = 3,830.42 : x
2. Step 2: Convert to fraction form
   10,405.19/15,613.45 = 3,830.42/x
3. Step 3: Cross multiply
   10,405.19x = 15,613.45 × 3,830.42
4. Step 4: Simplify right side
   10,405.19x = 59,806,100.61
5. Step 5: Solve for x
   x = 59,806,100.61/10,405.19
6. Step 6: Final answer
   x = 5,747.72