Finding the Fourth Proportional to 256,864.91, 354,461.00 and 142,141.47

Step by Step Solution

1. Step 1: Write the proportion equation
   256,864.91 : 354,461.00 = 142,141.47 : x
2. Step 2: Convert to fraction form
   256,864.91/354,461.00 = 142,141.47/x
3. Step 3: Cross multiply
   256,864.91x = 354,461.00 × 142,141.47
4. Step 4: Simplify right side
   256,864.91x = 50,383,605,557.73
5. Step 5: Solve for x
   x = 50,383,605,557.73/256,864.91
6. Step 6: Final answer
   x = 196,148.27