Finding the Fourth Proportional to 1,206.71, 1,665.32 and 734.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206.71 : 1,665.32 = 734.53 : x
2. Step 2: Convert to fraction form
   1,206.71/1,665.32 = 734.53/x
3. Step 3: Cross multiply
   1,206.71x = 1,665.32 × 734.53
4. Step 4: Simplify right side
   1,206.71x = 1,223,227.50
5. Step 5: Solve for x
   x = 1,223,227.50/1,206.71
6. Step 6: Final answer
   x = 1,013.69