Finding the Fourth Proportional to 1,188.72, 1,783.24 and 419.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.72 : 1,783.24 = 419.04 : x
2. Step 2: Convert to fraction form
   1,188.72/1,783.24 = 419.04/x
3. Step 3: Cross multiply
   1,188.72x = 1,783.24 × 419.04
4. Step 4: Simplify right side
   1,188.72x = 747,248.89
5. Step 5: Solve for x
   x = 747,248.89/1,188.72
6. Step 6: Final answer
   x = 628.62