Finding the Fourth Proportional to 1,578.61, 2,178.04 and 1,019.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.61 : 2,178.04 = 1,019.10 : x
2. Step 2: Convert to fraction form
   1,578.61/2,178.04 = 1,019.10/x
3. Step 3: Cross multiply
   1,578.61x = 2,178.04 × 1,019.10
4. Step 4: Simplify right side
   1,578.61x = 2,219,635.47
5. Step 5: Solve for x
   x = 2,219,635.47/1,578.61
6. Step 6: Final answer
   x = 1,406.07