Finding the Fourth Proportional to 10,496.42, 14,486.09 and 7,839.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.42 : 14,486.09 = 7,839.22 : x
2. Step 2: Convert to fraction form
   10,496.42/14,486.09 = 7,839.22/x
3. Step 3: Cross multiply
   10,496.42x = 14,486.09 × 7,839.22
4. Step 4: Simplify right side
   10,496.42x = 113,559,646.45
5. Step 5: Solve for x
   x = 113,559,646.45/10,496.42
6. Step 6: Final answer
   x = 10,818.89