Finding the Fourth Proportional to 10,009.59, 13,824.39 and 7,768.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,009.59 : 13,824.39 = 7,768.02 : x
2. Step 2: Convert to fraction form
   10,009.59/13,824.39 = 7,768.02/x
3. Step 3: Cross multiply
   10,009.59x = 13,824.39 × 7,768.02
4. Step 4: Simplify right side
   10,009.59x = 107,388,138.01
5. Step 5: Solve for x
   x = 107,388,138.01/10,009.59
6. Step 6: Final answer
   x = 10,728.53