Finding the Fourth Proportional to 1,062.50, 1,466.31 and 596.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,062.50 : 1,466.31 = 596.78 : x
2. Step 2: Convert to fraction form
   1,062.50/1,466.31 = 596.78/x
3. Step 3: Cross multiply
   1,062.50x = 1,466.31 × 596.78
4. Step 4: Simplify right side
   1,062.50x = 875,064.48
5. Step 5: Solve for x
   x = 875,064.48/1,062.50
6. Step 6: Final answer
   x = 823.59