Finding the Fourth Proportional to 13,697.29, 18,902.42 and 7,729.03

Step by Step Solution

1. Step 1: Write the proportion equation
   13,697.29 : 18,902.42 = 7,729.03 : x
2. Step 2: Convert to fraction form
   13,697.29/18,902.42 = 7,729.03/x
3. Step 3: Cross multiply
   13,697.29x = 18,902.42 × 7,729.03
4. Step 4: Simplify right side
   13,697.29x = 146,097,371.25
5. Step 5: Solve for x
   x = 146,097,371.25/13,697.29
6. Step 6: Final answer
   x = 10,666.15