Finding the Fourth Proportional to 1,422.78, 2,134.39 and 498.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.78 : 2,134.39 = 498.31 : x
2. Step 2: Convert to fraction form
   1,422.78/2,134.39 = 498.31/x
3. Step 3: Cross multiply
   1,422.78x = 2,134.39 × 498.31
4. Step 4: Simplify right side
   1,422.78x = 1,063,587.88
5. Step 5: Solve for x
   x = 1,063,587.88/1,422.78
6. Step 6: Final answer
   x = 747.54