Finding the Fourth Proportional to 1,578.82, 2,178.52 and 880.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.82 : 2,178.52 = 880.20 : x
2. Step 2: Convert to fraction form
   1,578.82/2,178.52 = 880.20/x
3. Step 3: Cross multiply
   1,578.82x = 2,178.52 × 880.20
4. Step 4: Simplify right side
   1,578.82x = 1,917,533.30
5. Step 5: Solve for x
   x = 1,917,533.30/1,578.82
6. Step 6: Final answer
   x = 1,214.54