Finding the Fourth Proportional to 1,062.32, 1,465.98 and 596.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,062.32 : 1,465.98 = 596.57 : x
2. Step 2: Convert to fraction form
   1,062.32/1,465.98 = 596.57/x
3. Step 3: Cross multiply
   1,062.32x = 1,465.98 × 596.57
4. Step 4: Simplify right side
   1,062.32x = 874,559.69
5. Step 5: Solve for x
   x = 874,559.69/1,062.32
6. Step 6: Final answer
   x = 823.25