Finding the Fourth Proportional to 13,019.35, 19,510.57 and 9,517.42

Step by Step Solution

1. Step 1: Write the proportion equation
   13,019.35 : 19,510.57 = 9,517.42 : x
2. Step 2: Convert to fraction form
   13,019.35/19,510.57 = 9,517.42/x
3. Step 3: Cross multiply
   13,019.35x = 19,510.57 × 9,517.42
4. Step 4: Simplify right side
   13,019.35x = 185,690,289.13
5. Step 5: Solve for x
   x = 185,690,289.13/13,019.35
6. Step 6: Final answer
   x = 14,262.64