Finding the Fourth Proportional to 10,114.26, 13,958.89 and 5,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.26 : 13,958.89 = 5,922.50 : x
2. Step 2: Convert to fraction form
   10,114.26/13,958.89 = 5,922.50/x
3. Step 3: Cross multiply
   10,114.26x = 13,958.89 × 5,922.50
4. Step 4: Simplify right side
   10,114.26x = 82,671,526.03
5. Step 5: Solve for x
   x = 82,671,526.03/10,114.26
6. Step 6: Final answer
   x = 8,173.76