Finding the Fourth Proportional to 1,068.50, 1,602.42 and 419.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,068.50 : 1,602.42 = 419.07 : x
2. Step 2: Convert to fraction form
   1,068.50/1,602.42 = 419.07/x
3. Step 3: Cross multiply
   1,068.50x = 1,602.42 × 419.07
4. Step 4: Simplify right side
   1,068.50x = 671,526.15
5. Step 5: Solve for x
   x = 671,526.15/1,068.50
6. Step 6: Final answer
   x = 628.48