Finding the Fourth Proportional to 7,012.42, 9,677.28 and 3,825.67

Step by Step Solution

1. Step 1: Write the proportion equation
   7,012.42 : 9,677.28 = 3,825.67 : x
2. Step 2: Convert to fraction form
   7,012.42/9,677.28 = 3,825.67/x
3. Step 3: Cross multiply
   7,012.42x = 9,677.28 × 3,825.67
4. Step 4: Simplify right side
   7,012.42x = 37,022,079.78
5. Step 5: Solve for x
   x = 37,022,079.78/7,012.42
6. Step 6: Final answer
   x = 5,279.50