Finding the Fourth Proportional to 10,402.73, 15,596.81 and 3,828.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.73 : 15,596.81 = 3,828.06 : x
2. Step 2: Convert to fraction form
   10,402.73/15,596.81 = 3,828.06/x
3. Step 3: Cross multiply
   10,402.73x = 15,596.81 × 3,828.06
4. Step 4: Simplify right side
   10,402.73x = 59,705,578.19
5. Step 5: Solve for x
   x = 59,705,578.19/10,402.73
6. Step 6: Final answer
   x = 5,739.41