Finding the Fourth Proportional to 2,595.38, 3,892.26 and 952.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595.38 : 3,892.26 = 952.05 : x
2. Step 2: Convert to fraction form
   2,595.38/3,892.26 = 952.05/x
3. Step 3: Cross multiply
   2,595.38x = 3,892.26 × 952.05
4. Step 4: Simplify right side
   2,595.38x = 3,705,626.13
5. Step 5: Solve for x
   x = 3,705,626.13/2,595.38
6. Step 6: Final answer
   x = 1,427.78