Finding the Fourth Proportional to 1,068.42, 1,601.78 and 419.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,068.42 : 1,601.78 = 419.10 : x
2. Step 2: Convert to fraction form
   1,068.42/1,601.78 = 419.10/x
3. Step 3: Cross multiply
   1,068.42x = 1,601.78 × 419.10
4. Step 4: Simplify right side
   1,068.42x = 671,306.00
5. Step 5: Solve for x
   x = 671,306.00/1,068.42
6. Step 6: Final answer
   x = 628.32