Finding the Fourth Proportional to 1,068.52, 1,601.80 and 419.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,068.52 : 1,601.80 = 419.10 : x
2. Step 2: Convert to fraction form
   1,068.52/1,601.80 = 419.10/x
3. Step 3: Cross multiply
   1,068.52x = 1,601.80 × 419.10
4. Step 4: Simplify right side
   1,068.52x = 671,314.38
5. Step 5: Solve for x
   x = 671,314.38/1,068.52
6. Step 6: Final answer
   x = 628.27