Finding the Fourth Proportional to 10,406.88, 15,616.48 and 3,837.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.88 : 15,616.48 = 3,837.64 : x
2. Step 2: Convert to fraction form
   10,406.88/15,616.48 = 3,837.64/x
3. Step 3: Cross multiply
   10,406.88x = 15,616.48 × 3,837.64
4. Step 4: Simplify right side
   10,406.88x = 59,930,428.31
5. Step 5: Solve for x
   x = 59,930,428.31/10,406.88
6. Step 6: Final answer
   x = 5,758.73