Finding the Fourth Proportional to 7,028.42, 10,546.27 and 5,096.57

Step by Step Solution

1. Step 1: Write the proportion equation
   7,028.42 : 10,546.27 = 5,096.57 : x
2. Step 2: Convert to fraction form
   7,028.42/10,546.27 = 5,096.57/x
3. Step 3: Cross multiply
   7,028.42x = 10,546.27 × 5,096.57
4. Step 4: Simplify right side
   7,028.42x = 53,749,737.82
5. Step 5: Solve for x
   x = 53,749,737.82/7,028.42
6. Step 6: Final answer
   x = 7,647.49