Finding the Fourth Proportional to 10,094.85, 13,944.42 and 7,766.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094.85 : 13,944.42 = 7,766.10 : x
2. Step 2: Convert to fraction form
   10,094.85/13,944.42 = 7,766.10/x
3. Step 3: Cross multiply
   10,094.85x = 13,944.42 × 7,766.10
4. Step 4: Simplify right side
   10,094.85x = 108,293,760.16
5. Step 5: Solve for x
   x = 108,293,760.16/10,094.85
6. Step 6: Final answer
   x = 10,727.62