Finding the Fourth Proportional to 10,411.53, 15,618.59 and 3,837.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,411.53 : 15,618.59 = 3,837.75 : x
2. Step 2: Convert to fraction form
   10,411.53/15,618.59 = 3,837.75/x
3. Step 3: Cross multiply
   10,411.53x = 15,618.59 × 3,837.75
4. Step 4: Simplify right side
   10,411.53x = 59,940,224.58
5. Step 5: Solve for x
   x = 59,940,224.58/10,411.53
6. Step 6: Final answer
   x = 5,757.10