Finding the Fourth Proportional to 9,146.68, 12,622.98 and 5,166.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.68 : 12,622.98 = 5,166.34 : x
2. Step 2: Convert to fraction form
   9,146.68/12,622.98 = 5,166.34/x
3. Step 3: Cross multiply
   9,146.68x = 12,622.98 × 5,166.34
4. Step 4: Simplify right side
   9,146.68x = 65,214,606.49
5. Step 5: Solve for x
   x = 65,214,606.49/9,146.68
6. Step 6: Final answer
   x = 7,129.87