Finding the Fourth Proportional to 1,301.76, 1,796.49 and 742.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.76 : 1,796.49 = 742.23 : x
2. Step 2: Convert to fraction form
   1,301.76/1,796.49 = 742.23/x
3. Step 3: Cross multiply
   1,301.76x = 1,796.49 × 742.23
4. Step 4: Simplify right side
   1,301.76x = 1,333,408.77
5. Step 5: Solve for x
   x = 1,333,408.77/1,301.76
6. Step 6: Final answer
   x = 1,024.31