Finding the Fourth Proportional to 10,727.01, 16,097.13 and 5,180.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,727.01 : 16,097.13 = 5,180.90 : x
2. Step 2: Convert to fraction form
   10,727.01/16,097.13 = 5,180.90/x
3. Step 3: Cross multiply
   10,727.01x = 16,097.13 × 5,180.90
4. Step 4: Simplify right side
   10,727.01x = 83,397,540.33
5. Step 5: Solve for x
   x = 83,397,540.33/10,727.01
6. Step 6: Final answer
   x = 7,774.54