Finding the Fourth Proportional to 1,095.98, 1,644.17 and 419.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,095.98 : 1,644.17 = 419.76 : x
2. Step 2: Convert to fraction form
   1,095.98/1,644.17 = 419.76/x
3. Step 3: Cross multiply
   1,095.98x = 1,644.17 × 419.76
4. Step 4: Simplify right side
   1,095.98x = 690,156.80
5. Step 5: Solve for x
   x = 690,156.80/1,095.98
6. Step 6: Final answer
   x = 629.72