Finding the Fourth Proportional to 11,739.50, 17,614.98 and 5,164.86

Step by Step Solution

1. Step 1: Write the proportion equation
   11,739.50 : 17,614.98 = 5,164.86 : x
2. Step 2: Convert to fraction form
   11,739.50/17,614.98 = 5,164.86/x
3. Step 3: Cross multiply
   11,739.50x = 17,614.98 × 5,164.86
4. Step 4: Simplify right side
   11,739.50x = 90,978,905.60
5. Step 5: Solve for x
   x = 90,978,905.60/11,739.50
6. Step 6: Final answer
   x = 7,749.81