Finding the Fourth Proportional to 10,072.54, 15,106.52 and 3,830.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.54 : 15,106.52 = 3,830.33 : x
2. Step 2: Convert to fraction form
   10,072.54/15,106.52 = 3,830.33/x
3. Step 3: Cross multiply
   10,072.54x = 15,106.52 × 3,830.33
4. Step 4: Simplify right side
   10,072.54x = 57,862,937.60
5. Step 5: Solve for x
   x = 57,862,937.60/10,072.54
6. Step 6: Final answer
   x = 5,744.63