Finding the Fourth Proportional to 8,401.52, 12,597.96 and 3,782

Step by Step Solution

1. Step 1: Write the proportion equation
   8,401.52 : 12,597.96 = 3,782 : x
2. Step 2: Convert to fraction form
   8,401.52/12,597.96 = 3,782/x
3. Step 3: Cross multiply
   8,401.52x = 12,597.96 × 3,782
4. Step 4: Simplify right side
   8,401.52x = 47,645,484.72
5. Step 5: Solve for x
   x = 47,645,484.72/8,401.52
6. Step 6: Final answer
   x = 5,671.06