Finding the Fourth Proportional to 13,697.76, 18,902.59 and 7,729.54

Step by Step Solution

1. Step 1: Write the proportion equation
   13,697.76 : 18,902.59 = 7,729.54 : x
2. Step 2: Convert to fraction form
   13,697.76/18,902.59 = 7,729.54/x
3. Step 3: Cross multiply
   13,697.76x = 18,902.59 × 7,729.54
4. Step 4: Simplify right side
   13,697.76x = 146,108,325.51
5. Step 5: Solve for x
   x = 146,108,325.51/13,697.76
6. Step 6: Final answer
   x = 10,666.59