Finding the Fourth Proportional to 1,578.06, 2,176.20 and 1,412.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.06 : 2,176.20 = 1,412.82 : x
2. Step 2: Convert to fraction form
   1,578.06/2,176.20 = 1,412.82/x
3. Step 3: Cross multiply
   1,578.06x = 2,176.20 × 1,412.82
4. Step 4: Simplify right side
   1,578.06x = 3,074,578.88
5. Step 5: Solve for x
   x = 3,074,578.88/1,578.06
6. Step 6: Final answer
   x = 1,948.33