Finding the Fourth Proportional to 9,500.22, 14,242.14 and 5,112.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,500.22 : 14,242.14 = 5,112.60 : x
2. Step 2: Convert to fraction form
   9,500.22/14,242.14 = 5,112.60/x
3. Step 3: Cross multiply
   9,500.22x = 14,242.14 × 5,112.60
4. Step 4: Simplify right side
   9,500.22x = 72,814,364.96
5. Step 5: Solve for x
   x = 72,814,364.96/9,500.22
6. Step 6: Final answer
   x = 7,664.49