Finding the Fourth Proportional to 1,301.85, 1,796.47 and 742.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.85 : 1,796.47 = 742.24 : x
2. Step 2: Convert to fraction form
   1,301.85/1,796.47 = 742.24/x
3. Step 3: Cross multiply
   1,301.85x = 1,796.47 × 742.24
4. Step 4: Simplify right side
   1,301.85x = 1,333,411.89
5. Step 5: Solve for x
   x = 1,333,411.89/1,301.85
6. Step 6: Final answer
   x = 1,024.24