Finding the Fourth Proportional to 9,357.18, 12,912.57 and 5,165.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,357.18 : 12,912.57 = 5,165.34 : x
2. Step 2: Convert to fraction form
   9,357.18/12,912.57 = 5,165.34/x
3. Step 3: Cross multiply
   9,357.18x = 12,912.57 × 5,165.34
4. Step 4: Simplify right side
   9,357.18x = 66,697,814.32
5. Step 5: Solve for x
   x = 66,697,814.32/9,357.18
6. Step 6: Final answer
   x = 7,127.98