Finding the Fourth Proportional to 9,357.34, 12,913.05 and 5,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,357.34 : 12,913.05 = 5,165.50 : x
2. Step 2: Convert to fraction form
   9,357.34/12,913.05 = 5,165.50/x
3. Step 3: Cross multiply
   9,357.34x = 12,913.05 × 5,165.50
4. Step 4: Simplify right side
   9,357.34x = 66,702,359.78
5. Step 5: Solve for x
   x = 66,702,359.78/9,357.34
6. Step 6: Final answer
   x = 7,128.35