Finding the Fourth Proportional to 256,498.55, 384,540.29 and 106,851.25

Step by Step Solution

1. Step 1: Write the proportion equation
   256,498.55 : 384,540.29 = 106,851.25 : x
2. Step 2: Convert to fraction form
   256,498.55/384,540.29 = 106,851.25/x
3. Step 3: Cross multiply
   256,498.55x = 384,540.29 × 106,851.25
4. Step 4: Simplify right side
   256,498.55x = 41,088,610,708.45
5. Step 5: Solve for x
   x = 41,088,610,708.45/256,498.55
6. Step 6: Final answer
   x = 160,190.42