Finding the Fourth Proportional to 7,012.56, 9,677.60 and 3,868.64

Step by Step Solution

1. Step 1: Write the proportion equation
   7,012.56 : 9,677.60 = 3,868.64 : x
2. Step 2: Convert to fraction form
   7,012.56/9,677.60 = 3,868.64/x
3. Step 3: Cross multiply
   7,012.56x = 9,677.60 × 3,868.64
4. Step 4: Simplify right side
   7,012.56x = 37,439,150.46
5. Step 5: Solve for x
   x = 37,439,150.46/7,012.56
6. Step 6: Final answer
   x = 5,338.87