Finding the Fourth Proportional to 1,301.74, 1,796.31 and 742.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.74 : 1,796.31 = 742.23 : x
2. Step 2: Convert to fraction form
   1,301.74/1,796.31 = 742.23/x
3. Step 3: Cross multiply
   1,301.74x = 1,796.31 × 742.23
4. Step 4: Simplify right side
   1,301.74x = 1,333,284.69
5. Step 5: Solve for x
   x = 1,333,284.69/1,301.74
6. Step 6: Final answer
   x = 1,024.23