Finding the Fourth Proportional to 9,144.06, 12,617.91 and 5,164.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,144.06 : 12,617.91 = 5,164.62 : x
2. Step 2: Convert to fraction form
   9,144.06/12,617.91 = 5,164.62/x
3. Step 3: Cross multiply
   9,144.06x = 12,617.91 × 5,164.62
4. Step 4: Simplify right side
   9,144.06x = 65,166,710.34
5. Step 5: Solve for x
   x = 65,166,710.34/9,144.06
6. Step 6: Final answer
   x = 7,126.67