Finding the Fourth Proportional to 1,422.63, 2,133.83 and 498.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.63 : 2,133.83 = 498.09 : x
2. Step 2: Convert to fraction form
   1,422.63/2,133.83 = 498.09/x
3. Step 3: Cross multiply
   1,422.63x = 2,133.83 × 498.09
4. Step 4: Simplify right side
   1,422.63x = 1,062,826.23
5. Step 5: Solve for x
   x = 1,062,826.23/1,422.63
6. Step 6: Final answer
   x = 747.09