Finding the Fourth Proportional to 25,829, 38,757.50 and 19,997

Step by Step Solution

1. Step 1: Write the proportion equation
   25,829 : 38,757.50 = 19,997 : x
2. Step 2: Convert to fraction form
   25,829/38,757.50 = 19,997/x
3. Step 3: Cross multiply
   25,829x = 38,757.50 × 19,997
4. Step 4: Simplify right side
   25,829x = 775,033,727.50
5. Step 5: Solve for x
   x = 775,033,727.50/25,829
6. Step 6: Final answer
   x = 30,006.34