Finding the Fourth Proportional to 1,281.50, 1,922.56 and 415.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,281.50 : 1,922.56 = 415.82 : x
2. Step 2: Convert to fraction form
   1,281.50/1,922.56 = 415.82/x
3. Step 3: Cross multiply
   1,281.50x = 1,922.56 × 415.82
4. Step 4: Simplify right side
   1,281.50x = 799,429.29
5. Step 5: Solve for x
   x = 799,429.29/1,281.50
6. Step 6: Final answer
   x = 623.82