Finding the Fourth Proportional to 1,301.54, 1,796.20 and 742.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.54 : 1,796.20 = 742.18 : x
2. Step 2: Convert to fraction form
   1,301.54/1,796.20 = 742.18/x
3. Step 3: Cross multiply
   1,301.54x = 1,796.20 × 742.18
4. Step 4: Simplify right side
   1,301.54x = 1,333,103.72
5. Step 5: Solve for x
   x = 1,333,103.72/1,301.54
6. Step 6: Final answer
   x = 1,024.25