Finding the Fourth Proportional to 10,071.91, 15,105.58 and 3,829.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,071.91 : 15,105.58 = 3,829.70 : x
2. Step 2: Convert to fraction form
   10,071.91/15,105.58 = 3,829.70/x
3. Step 3: Cross multiply
   10,071.91x = 15,105.58 × 3,829.70
4. Step 4: Simplify right side
   10,071.91x = 57,849,839.73
5. Step 5: Solve for x
   x = 57,849,839.73/10,071.91
6. Step 6: Final answer
   x = 5,743.68