Finding the Fourth Proportional to 1,152.42, 1,730.17 and 684.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.42 : 1,730.17 = 684.77 : x
2. Step 2: Convert to fraction form
   1,152.42/1,730.17 = 684.77/x
3. Step 3: Cross multiply
   1,152.42x = 1,730.17 × 684.77
4. Step 4: Simplify right side
   1,152.42x = 1,184,758.15
5. Step 5: Solve for x
   x = 1,184,758.15/1,152.42
6. Step 6: Final answer
   x = 1,028.06