Finding the Fourth Proportional to 10,616.98, 14,651.78 and 5,837.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,616.98 : 14,651.78 = 5,837.12 : x
2. Step 2: Convert to fraction form
   10,616.98/14,651.78 = 5,837.12/x
3. Step 3: Cross multiply
   10,616.98x = 14,651.78 × 5,837.12
4. Step 4: Simplify right side
   10,616.98x = 85,524,168.89
5. Step 5: Solve for x
   x = 85,524,168.89/10,616.98
6. Step 6: Final answer
   x = 8,055.42