Finding the Fourth Proportional to 10,556.15, 15,839.69 and 7,658.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,556.15 : 15,839.69 = 7,658.37 : x
2. Step 2: Convert to fraction form
   10,556.15/15,839.69 = 7,658.37/x
3. Step 3: Cross multiply
   10,556.15x = 15,839.69 × 7,658.37
4. Step 4: Simplify right side
   10,556.15x = 121,306,168.41
5. Step 5: Solve for x
   x = 121,306,168.41/10,556.15
6. Step 6: Final answer
   x = 11,491.52