Finding the Fourth Proportional to 2,589.82, 3,886.40 and 946.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.82 : 3,886.40 = 946.23 : x
2. Step 2: Convert to fraction form
   2,589.82/3,886.40 = 946.23/x
3. Step 3: Cross multiply
   2,589.82x = 3,886.40 × 946.23
4. Step 4: Simplify right side
   2,589.82x = 3,677,428.27
5. Step 5: Solve for x
   x = 3,677,428.27/2,589.82
6. Step 6: Final answer
   x = 1,419.96