Finding the Fourth Proportional to 12,740, 19,114.86 and 4,949.42

Step by Step Solution

1. Step 1: Write the proportion equation
   12,740 : 19,114.86 = 4,949.42 : x
2. Step 2: Convert to fraction form
   12,740/19,114.86 = 4,949.42/x
3. Step 3: Cross multiply
   12,740x = 19,114.86 × 4,949.42
4. Step 4: Simplify right side
   12,740x = 94,607,470.38
5. Step 5: Solve for x
   x = 94,607,470.38/12,740
6. Step 6: Final answer
   x = 7,426.02