Finding the Fourth Proportional to 1,065.71, 1,469.98 and 734.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.71 : 1,469.98 = 734.15 : x
2. Step 2: Convert to fraction form
   1,065.71/1,469.98 = 734.15/x
3. Step 3: Cross multiply
   1,065.71x = 1,469.98 × 734.15
4. Step 4: Simplify right side
   1,065.71x = 1,079,185.82
5. Step 5: Solve for x
   x = 1,079,185.82/1,065.71
6. Step 6: Final answer
   x = 1,012.64