Finding the Fourth Proportional to 1,419.16, 2,128.72 and 494.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.16 : 2,128.72 = 494.70 : x
2. Step 2: Convert to fraction form
   1,419.16/2,128.72 = 494.70/x
3. Step 3: Cross multiply
   1,419.16x = 2,128.72 × 494.70
4. Step 4: Simplify right side
   1,419.16x = 1,053,077.78
5. Step 5: Solve for x
   x = 1,053,077.78/1,419.16
6. Step 6: Final answer
   x = 742.04