Finding the Fourth Proportional to 9,144.83, 12,620.89 and 5,166.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,144.83 : 12,620.89 = 5,166.20 : x
2. Step 2: Convert to fraction form
   9,144.83/12,620.89 = 5,166.20/x
3. Step 3: Cross multiply
   9,144.83x = 12,620.89 × 5,166.20
4. Step 4: Simplify right side
   9,144.83x = 65,201,952.98
5. Step 5: Solve for x
   x = 65,201,952.98/9,144.83
6. Step 6: Final answer
   x = 7,129.93