Finding the Fourth Proportional to 25,978.84, 35,850.78 and 14,042.16

Step by Step Solution

1. Step 1: Write the proportion equation
   25,978.84 : 35,850.78 = 14,042.16 : x
2. Step 2: Convert to fraction form
   25,978.84/35,850.78 = 14,042.16/x
3. Step 3: Cross multiply
   25,978.84x = 35,850.78 × 14,042.16
4. Step 4: Simplify right side
   25,978.84x = 503,422,388.88
5. Step 5: Solve for x
   x = 503,422,388.88/25,978.84
6. Step 6: Final answer
   x = 19,378.17