Finding the Fourth Proportional to 2,594.14, 3,580.56 and 1,546

Step by Step Solution

1. Step 1: Write the proportion equation
   2,594.14 : 3,580.56 = 1,546 : x
2. Step 2: Convert to fraction form
   2,594.14/3,580.56 = 1,546/x
3. Step 3: Cross multiply
   2,594.14x = 3,580.56 × 1,546
4. Step 4: Simplify right side
   2,594.14x = 5,535,545.76
5. Step 5: Solve for x
   x = 5,535,545.76/2,594.14
6. Step 6: Final answer
   x = 2,133.87