Finding the Fourth Proportional to 1,007.36, 1,513.89 and 596.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.36 : 1,513.89 = 596.57 : x
2. Step 2: Convert to fraction form
   1,007.36/1,513.89 = 596.57/x
3. Step 3: Cross multiply
   1,007.36x = 1,513.89 × 596.57
4. Step 4: Simplify right side
   1,007.36x = 903,141.36
5. Step 5: Solve for x
   x = 903,141.36/1,007.36
6. Step 6: Final answer
   x = 896.54