Finding the Fourth Proportional to 1,144.56, 1,715.64 and 596.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.56 : 1,715.64 = 596.16 : x
2. Step 2: Convert to fraction form
   1,144.56/1,715.64 = 596.16/x
3. Step 3: Cross multiply
   1,144.56x = 1,715.64 × 596.16
4. Step 4: Simplify right side
   1,144.56x = 1,022,795.94
5. Step 5: Solve for x
   x = 1,022,795.94/1,144.56
6. Step 6: Final answer
   x = 893.61