Finding the Fourth Proportional to 11,739.25, 17,614.61 and 5,164.61

Step by Step Solution

1. Step 1: Write the proportion equation
   11,739.25 : 17,614.61 = 5,164.61 : x
2. Step 2: Convert to fraction form
   11,739.25/17,614.61 = 5,164.61/x
3. Step 3: Cross multiply
   11,739.25x = 17,614.61 × 5,164.61
4. Step 4: Simplify right side
   11,739.25x = 90,972,565.13
5. Step 5: Solve for x
   x = 90,972,565.13/11,739.25
6. Step 6: Final answer
   x = 7,749.44