Finding the Fourth Proportional to 10,256.22, 15,379.56 and 3,680.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.22 : 15,379.56 = 3,680.64 : x
2. Step 2: Convert to fraction form
   10,256.22/15,379.56 = 3,680.64/x
3. Step 3: Cross multiply
   10,256.22x = 15,379.56 × 3,680.64
4. Step 4: Simplify right side
   10,256.22x = 56,606,623.72
5. Step 5: Solve for x
   x = 56,606,623.72/10,256.22
6. Step 6: Final answer
   x = 5,519.25