Finding the Fourth Proportional to 1,578.74, 2,178.72 and 880.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.74 : 2,178.72 = 880.16 : x
2. Step 2: Convert to fraction form
   1,578.74/2,178.72 = 880.16/x
3. Step 3: Cross multiply
   1,578.74x = 2,178.72 × 880.16
4. Step 4: Simplify right side
   1,578.74x = 1,917,622.20
5. Step 5: Solve for x
   x = 1,917,622.20/1,578.74
6. Step 6: Final answer
   x = 1,214.65