Finding the Fourth Proportional to 9,148.02, 12,624.60 and 5,169.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,148.02 : 12,624.60 = 5,169.57 : x
2. Step 2: Convert to fraction form
   9,148.02/12,624.60 = 5,169.57/x
3. Step 3: Cross multiply
   9,148.02x = 12,624.60 × 5,169.57
4. Step 4: Simplify right side
   9,148.02x = 65,263,753.42
5. Step 5: Solve for x
   x = 65,263,753.42/9,148.02
6. Step 6: Final answer
   x = 7,134.19