Finding the Fourth Proportional to 10,256.43, 15,384.72 and 3,682.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.43 : 15,384.72 = 3,682.67 : x
2. Step 2: Convert to fraction form
   10,256.43/15,384.72 = 3,682.67/x
3. Step 3: Cross multiply
   10,256.43x = 15,384.72 × 3,682.67
4. Step 4: Simplify right side
   10,256.43x = 56,656,846.80
5. Step 5: Solve for x
   x = 56,656,846.80/10,256.43
6. Step 6: Final answer
   x = 5,524.03