Finding the Fourth Proportional to 1,152.84, 1,728.42 and 596.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.84 : 1,728.42 = 596.16 : x
2. Step 2: Convert to fraction form
   1,152.84/1,728.42 = 596.16/x
3. Step 3: Cross multiply
   1,152.84x = 1,728.42 × 596.16
4. Step 4: Simplify right side
   1,152.84x = 1,030,414.87
5. Step 5: Solve for x
   x = 1,030,414.87/1,152.84
6. Step 6: Final answer
   x = 893.81