Finding the Fourth Proportional to 10,072.47, 15,106.43 and 3,830.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.47 : 15,106.43 = 3,830.26 : x
2. Step 2: Convert to fraction form
   10,072.47/15,106.43 = 3,830.26/x
3. Step 3: Cross multiply
   10,072.47x = 15,106.43 × 3,830.26
4. Step 4: Simplify right side
   10,072.47x = 57,861,554.57
5. Step 5: Solve for x
   x = 57,861,554.57/10,072.47
6. Step 6: Final answer
   x = 5,744.52