Finding the Fourth Proportional to 10,519.83, 15,764.71 and 7,724.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,519.83 : 15,764.71 = 7,724.57 : x
2. Step 2: Convert to fraction form
   10,519.83/15,764.71 = 7,724.57/x
3. Step 3: Cross multiply
   10,519.83x = 15,764.71 × 7,724.57
4. Step 4: Simplify right side
   10,519.83x = 121,775,610.95
5. Step 5: Solve for x
   x = 121,775,610.95/10,519.83
6. Step 6: Final answer
   x = 11,575.82