Finding the Fourth Proportional to 2,591.25, 3,885.71 and 946.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,591.25 : 3,885.71 = 946.64 : x
2. Step 2: Convert to fraction form
   2,591.25/3,885.71 = 946.64/x
3. Step 3: Cross multiply
   2,591.25x = 3,885.71 × 946.64
4. Step 4: Simplify right side
   2,591.25x = 3,678,368.51
5. Step 5: Solve for x
   x = 3,678,368.51/2,591.25
6. Step 6: Final answer
   x = 1,419.53