Finding the Fourth Proportional to 25,056.50, 34,578.04 and 13,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,056.50 : 34,578.04 = 13,878.50 : x
2. Step 2: Convert to fraction form
   25,056.50/34,578.04 = 13,878.50/x
3. Step 3: Cross multiply
   25,056.50x = 34,578.04 × 13,878.50
4. Step 4: Simplify right side
   25,056.50x = 479,891,328.14
5. Step 5: Solve for x
   x = 479,891,328.14/25,056.50
6. Step 6: Final answer
   x = 19,152.37