Finding the Fourth Proportional to 1,788.40, 2,466.78 and 1,456.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,788.40 : 2,466.78 = 1,456.84 : x
2. Step 2: Convert to fraction form
   1,788.40/2,466.78 = 1,456.84/x
3. Step 3: Cross multiply
   1,788.40x = 2,466.78 × 1,456.84
4. Step 4: Simplify right side
   1,788.40x = 3,593,703.78
5. Step 5: Solve for x
   x = 3,593,703.78/1,788.40
6. Step 6: Final answer
   x = 2,009.45