Finding the Fourth Proportional to 6,727.12, 10,097.94 and 5,101.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,727.12 : 10,097.94 = 5,101.42 : x
2. Step 2: Convert to fraction form
   6,727.12/10,097.94 = 5,101.42/x
3. Step 3: Cross multiply
   6,727.12x = 10,097.94 × 5,101.42
4. Step 4: Simplify right side
   6,727.12x = 51,513,833.07
5. Step 5: Solve for x
   x = 51,513,833.07/6,727.12
6. Step 6: Final answer
   x = 7,657.64