Finding the Fourth Proportional to 9,148.42, 12,624.68 and 5,169.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,148.42 : 12,624.68 = 5,169.40 : x
2. Step 2: Convert to fraction form
   9,148.42/12,624.68 = 5,169.40/x
3. Step 3: Cross multiply
   9,148.42x = 12,624.68 × 5,169.40
4. Step 4: Simplify right side
   9,148.42x = 65,262,020.79
5. Step 5: Solve for x
   x = 65,262,020.79/9,148.42
6. Step 6: Final answer
   x = 7,133.69