Finding the Fourth Proportional to 9,357.66, 12,909.51 and 5,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,357.66 : 12,909.51 = 5,629.50 : x
2. Step 2: Convert to fraction form
   9,357.66/12,909.51 = 5,629.50/x
3. Step 3: Cross multiply
   9,357.66x = 12,909.51 × 5,629.50
4. Step 4: Simplify right side
   9,357.66x = 72,674,086.55
5. Step 5: Solve for x
   x = 72,674,086.55/9,357.66
6. Step 6: Final answer
   x = 7,766.27