Finding the Fourth Proportional to 1,301.71, 1,796.23 and 742.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.71 : 1,796.23 = 742.30 : x
2. Step 2: Convert to fraction form
   1,301.71/1,796.23 = 742.30/x
3. Step 3: Cross multiply
   1,301.71x = 1,796.23 × 742.30
4. Step 4: Simplify right side
   1,301.71x = 1,333,343.38
5. Step 5: Solve for x
   x = 1,333,343.38/1,301.71
6. Step 6: Final answer
   x = 1,024.30