Finding the Fourth Proportional to 10,069.36, 15,100.43 and 3,827.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,069.36 : 15,100.43 = 3,827.71 : x
2. Step 2: Convert to fraction form
   10,069.36/15,100.43 = 3,827.71/x
3. Step 3: Cross multiply
   10,069.36x = 15,100.43 × 3,827.71
4. Step 4: Simplify right side
   10,069.36x = 57,800,038.73
5. Step 5: Solve for x
   x = 57,800,038.73/10,069.36
6. Step 6: Final answer
   x = 5,740.19