Finding the Fourth Proportional to 25,012, 34,517.64 and 13,834

Step by Step Solution

1. Step 1: Write the proportion equation
   25,012 : 34,517.64 = 13,834 : x
2. Step 2: Convert to fraction form
   25,012/34,517.64 = 13,834/x
3. Step 3: Cross multiply
   25,012x = 34,517.64 × 13,834
4. Step 4: Simplify right side
   25,012x = 477,517,031.76
5. Step 5: Solve for x
   x = 477,517,031.76/25,012
6. Step 6: Final answer
   x = 19,091.52