Finding the Fourth Proportional to 1,302.07, 1,796.96 and 742.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,302.07 : 1,796.96 = 742.71 : x
2. Step 2: Convert to fraction form
   1,302.07/1,796.96 = 742.71/x
3. Step 3: Cross multiply
   1,302.07x = 1,796.96 × 742.71
4. Step 4: Simplify right side
   1,302.07x = 1,334,616.45
5. Step 5: Solve for x
   x = 1,334,616.45/1,302.07
6. Step 6: Final answer
   x = 1,025.00