Finding the Fourth Proportional to 7,158.53, 9,865.17 and 5,165.52

Step by Step Solution

1. Step 1: Write the proportion equation
   7,158.53 : 9,865.17 = 5,165.52 : x
2. Step 2: Convert to fraction form
   7,158.53/9,865.17 = 5,165.52/x
3. Step 3: Cross multiply
   7,158.53x = 9,865.17 × 5,165.52
4. Step 4: Simplify right side
   7,158.53x = 50,958,732.94
5. Step 5: Solve for x
   x = 50,958,732.94/7,158.53
6. Step 6: Final answer
   x = 7,118.61