Finding the Fourth Proportional to 9,357.34, 12,912.96 and 5,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,357.34 : 12,912.96 = 5,165.50 : x
2. Step 2: Convert to fraction form
   9,357.34/12,912.96 = 5,165.50/x
3. Step 3: Cross multiply
   9,357.34x = 12,912.96 × 5,165.50
4. Step 4: Simplify right side
   9,357.34x = 66,701,894.88
5. Step 5: Solve for x
   x = 66,701,894.88/9,357.34
6. Step 6: Final answer
   x = 7,128.30