Finding the Fourth Proportional to 2,185.38, 3,278.82 and 952.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.38 : 3,278.82 = 952.15 : x
2. Step 2: Convert to fraction form
   2,185.38/3,278.82 = 952.15/x
3. Step 3: Cross multiply
   2,185.38x = 3,278.82 × 952.15
4. Step 4: Simplify right side
   2,185.38x = 3,121,928.46
5. Step 5: Solve for x
   x = 3,121,928.46/2,185.38
6. Step 6: Final answer
   x = 1,428.56