Finding the Fourth Proportional to 9,941.50, 14,906.94 and 5,249.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,941.50 : 14,906.94 = 5,249.64 : x
2. Step 2: Convert to fraction form
   9,941.50/14,906.94 = 5,249.64/x
3. Step 3: Cross multiply
   9,941.50x = 14,906.94 × 5,249.64
4. Step 4: Simplify right side
   9,941.50x = 78,256,104.72
5. Step 5: Solve for x
   x = 78,256,104.72/9,941.50
6. Step 6: Final answer
   x = 7,871.66