Finding the Fourth Proportional to 1,077.16, 1,486.72 and 684.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.16 : 1,486.72 = 684.72 : x
2. Step 2: Convert to fraction form
   1,077.16/1,486.72 = 684.72/x
3. Step 3: Cross multiply
   1,077.16x = 1,486.72 × 684.72
4. Step 4: Simplify right side
   1,077.16x = 1,017,986.92
5. Step 5: Solve for x
   x = 1,017,986.92/1,077.16
6. Step 6: Final answer
   x = 945.07