Finding the Fourth Proportional to 1,301.49, 1,796.22 and 742.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.49 : 1,796.22 = 742.05 : x
2. Step 2: Convert to fraction form
   1,301.49/1,796.22 = 742.05/x
3. Step 3: Cross multiply
   1,301.49x = 1,796.22 × 742.05
4. Step 4: Simplify right side
   1,301.49x = 1,332,885.05
5. Step 5: Solve for x
   x = 1,332,885.05/1,301.49
6. Step 6: Final answer
   x = 1,024.12