Finding the Fourth Proportional to 1,301.72, 1,796.31 and 742.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.72 : 1,796.31 = 742.31 : x
2. Step 2: Convert to fraction form
   1,301.72/1,796.31 = 742.31/x
3. Step 3: Cross multiply
   1,301.72x = 1,796.31 × 742.31
4. Step 4: Simplify right side
   1,301.72x = 1,333,409.89
5. Step 5: Solve for x
   x = 1,333,409.89/1,301.72
6. Step 6: Final answer
   x = 1,024.35