Finding the Fourth Proportional to 7,727.50, 10,663.89 and 4,190.71

Step by Step Solution

1. Step 1: Write the proportion equation
   7,727.50 : 10,663.89 = 4,190.71 : x
2. Step 2: Convert to fraction form
   7,727.50/10,663.89 = 4,190.71/x
3. Step 3: Cross multiply
   7,727.50x = 10,663.89 × 4,190.71
4. Step 4: Simplify right side
   7,727.50x = 44,689,217.14
5. Step 5: Solve for x
   x = 44,689,217.14/7,727.50
6. Step 6: Final answer
   x = 5,783.14