Finding the Fourth Proportional to 25,978.77, 35,852.54 and 14,649.30

Step by Step Solution

1. Step 1: Write the proportion equation
   25,978.77 : 35,852.54 = 14,649.30 : x
2. Step 2: Convert to fraction form
   25,978.77/35,852.54 = 14,649.30/x
3. Step 3: Cross multiply
   25,978.77x = 35,852.54 × 14,649.30
4. Step 4: Simplify right side
   25,978.77x = 525,214,540.98
5. Step 5: Solve for x
   x = 525,214,540.98/25,978.77
6. Step 6: Final answer
   x = 20,217.07