Finding the Fourth Proportional to 10,494.14, 14,469.91 and 7,837.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.14 : 14,469.91 = 7,837.07 : x
2. Step 2: Convert to fraction form
   10,494.14/14,469.91 = 7,837.07/x
3. Step 3: Cross multiply
   10,494.14x = 14,469.91 × 7,837.07
4. Step 4: Simplify right side
   10,494.14x = 113,401,605.62
5. Step 5: Solve for x
   x = 113,401,605.62/10,494.14
6. Step 6: Final answer
   x = 10,806.19