Finding the Fourth Proportional to 2,596.64, 3,892.76 and 952.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.64 : 3,892.76 = 952.24 : x
2. Step 2: Convert to fraction form
   2,596.64/3,892.76 = 952.24/x
3. Step 3: Cross multiply
   2,596.64x = 3,892.76 × 952.24
4. Step 4: Simplify right side
   2,596.64x = 3,706,841.78
5. Step 5: Solve for x
   x = 3,706,841.78/2,596.64
6. Step 6: Final answer
   x = 1,427.55