Finding the Fourth Proportional to 1,301.69, 1,796.38 and 742.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.69 : 1,796.38 = 742.16 : x
2. Step 2: Convert to fraction form
   1,301.69/1,796.38 = 742.16/x
3. Step 3: Cross multiply
   1,301.69x = 1,796.38 × 742.16
4. Step 4: Simplify right side
   1,301.69x = 1,333,204.02
5. Step 5: Solve for x
   x = 1,333,204.02/1,301.69
6. Step 6: Final answer
   x = 1,024.21