Finding the Fourth Proportional to 1,456.84, 2,184.06 and 578.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.84 : 2,184.06 = 578.80 : x
2. Step 2: Convert to fraction form
   1,456.84/2,184.06 = 578.80/x
3. Step 3: Cross multiply
   1,456.84x = 2,184.06 × 578.80
4. Step 4: Simplify right side
   1,456.84x = 1,264,131.03
5. Step 5: Solve for x
   x = 1,264,131.03/1,456.84
6. Step 6: Final answer
   x = 867.72