Finding the Fourth Proportional to 10,488.82, 15,737.55 and 7,729.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,488.82 : 15,737.55 = 7,729.42 : x
2. Step 2: Convert to fraction form
   10,488.82/15,737.55 = 7,729.42/x
3. Step 3: Cross multiply
   10,488.82x = 15,737.55 × 7,729.42
4. Step 4: Simplify right side
   10,488.82x = 121,642,016.39
5. Step 5: Solve for x
   x = 121,642,016.39/10,488.82
6. Step 6: Final answer
   x = 11,597.31