Finding the Fourth Proportional to 1,066.31, 1,470.94 and 734.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.31 : 1,470.94 = 734.16 : x
2. Step 2: Convert to fraction form
   1,066.31/1,470.94 = 734.16/x
3. Step 3: Cross multiply
   1,066.31x = 1,470.94 × 734.16
4. Step 4: Simplify right side
   1,066.31x = 1,079,905.31
5. Step 5: Solve for x
   x = 1,079,905.31/1,066.31
6. Step 6: Final answer
   x = 1,012.75