Finding the Fourth Proportional to 25,978.11, 35,852.91 and 14,649.78

Step by Step Solution

1. Step 1: Write the proportion equation
   25,978.11 : 35,852.91 = 14,649.78 : x
2. Step 2: Convert to fraction form
   25,978.11/35,852.91 = 14,649.78/x
3. Step 3: Cross multiply
   25,978.11x = 35,852.91 × 14,649.78
4. Step 4: Simplify right side
   25,978.11x = 525,237,243.86
5. Step 5: Solve for x
   x = 525,237,243.86/25,978.11
6. Step 6: Final answer
   x = 20,218.45