Finding the Fourth Proportional to 2,596.42, 3,894.88 and 952.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.42 : 3,894.88 = 952.57 : x
2. Step 2: Convert to fraction form
   2,596.42/3,894.88 = 952.57/x
3. Step 3: Cross multiply
   2,596.42x = 3,894.88 × 952.57
4. Step 4: Simplify right side
   2,596.42x = 3,710,145.84
5. Step 5: Solve for x
   x = 3,710,145.84/2,596.42
6. Step 6: Final answer
   x = 1,428.95