Finding the Fourth Proportional to 416,009.31, 622,789.25 and 257,728.83

Step by Step Solution

1. Step 1: Write the proportion equation
   416,009.31 : 622,789.25 = 257,728.83 : x
2. Step 2: Convert to fraction form
   416,009.31/622,789.25 = 257,728.83/x
3. Step 3: Cross multiply
   416,009.31x = 622,789.25 × 257,728.83
4. Step 4: Simplify right side
   416,009.31x = 160,510,743,450.43
5. Step 5: Solve for x
   x = 160,510,743,450.43/416,009.31
6. Step 6: Final answer
   x = 385,834.50