Finding the Fourth Proportional to 10,116.89, 15,165.53 and 3,872.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.89 : 15,165.53 = 3,872.09 : x
2. Step 2: Convert to fraction form
   10,116.89/15,165.53 = 3,872.09/x
3. Step 3: Cross multiply
   10,116.89x = 15,165.53 × 3,872.09
4. Step 4: Simplify right side
   10,116.89x = 58,722,297.06
5. Step 5: Solve for x
   x = 58,722,297.06/10,116.89
6. Step 6: Final answer
   x = 5,804.38