Finding the Fourth Proportional to 9,144.94, 12,619.95 and 5,165.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,144.94 : 12,619.95 = 5,165.98 : x
2. Step 2: Convert to fraction form
   9,144.94/12,619.95 = 5,165.98/x
3. Step 3: Cross multiply
   9,144.94x = 12,619.95 × 5,165.98
4. Step 4: Simplify right side
   9,144.94x = 65,194,409.30
5. Step 5: Solve for x
   x = 65,194,409.30/9,144.94
6. Step 6: Final answer
   x = 7,129.01