Finding the Fourth Proportional to 1,301.69, 1,796.66 and 742.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.69 : 1,796.66 = 742.49 : x
2. Step 2: Convert to fraction form
   1,301.69/1,796.66 = 742.49/x
3. Step 3: Cross multiply
   1,301.69x = 1,796.66 × 742.49
4. Step 4: Simplify right side
   1,301.69x = 1,334,006.58
5. Step 5: Solve for x
   x = 1,334,006.58/1,301.69
6. Step 6: Final answer
   x = 1,024.82