Finding the Fourth Proportional to 1,420.83, 2,131.55 and 496.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.83 : 2,131.55 = 496.42 : x
2. Step 2: Convert to fraction form
   1,420.83/2,131.55 = 496.42/x
3. Step 3: Cross multiply
   1,420.83x = 2,131.55 × 496.42
4. Step 4: Simplify right side
   1,420.83x = 1,058,144.05
5. Step 5: Solve for x
   x = 1,058,144.05/1,420.83
6. Step 6: Final answer
   x = 744.74