Finding the Fourth Proportional to 1,152.56, 1,728.18 and 684.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.56 : 1,728.18 = 684.22 : x
2. Step 2: Convert to fraction form
   1,152.56/1,728.18 = 684.22/x
3. Step 3: Cross multiply
   1,152.56x = 1,728.18 × 684.22
4. Step 4: Simplify right side
   1,152.56x = 1,182,455.32
5. Step 5: Solve for x
   x = 1,182,455.32/1,152.56
6. Step 6: Final answer
   x = 1,025.94