Finding the Fourth Proportional to 1,015.70, 1,401.71 and 596.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,015.70 : 1,401.71 = 596.06 : x
2. Step 2: Convert to fraction form
   1,015.70/1,401.71 = 596.06/x
3. Step 3: Cross multiply
   1,015.70x = 1,401.71 × 596.06
4. Step 4: Simplify right side
   1,015.70x = 835,503.79
5. Step 5: Solve for x
   x = 835,503.79/1,015.70
6. Step 6: Final answer
   x = 822.59