Finding the Fourth Proportional to 1,256.37, 1,883.25 and 422.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.37 : 1,883.25 = 422.82 : x
2. Step 2: Convert to fraction form
   1,256.37/1,883.25 = 422.82/x
3. Step 3: Cross multiply
   1,256.37x = 1,883.25 × 422.82
4. Step 4: Simplify right side
   1,256.37x = 796,275.77
5. Step 5: Solve for x
   x = 796,275.77/1,256.37
6. Step 6: Final answer
   x = 633.79