Finding the Fourth Proportional to 1,301.78, 1,796.61 and 742.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.78 : 1,796.61 = 742.37 : x
2. Step 2: Convert to fraction form
   1,301.78/1,796.61 = 742.37/x
3. Step 3: Cross multiply
   1,301.78x = 1,796.61 × 742.37
4. Step 4: Simplify right side
   1,301.78x = 1,333,740.38
5. Step 5: Solve for x
   x = 1,333,740.38/1,301.78
6. Step 6: Final answer
   x = 1,024.56