Finding the Fourth Proportional to 2,074.60, 3,110.42 and 978.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.60 : 3,110.42 = 978.40 : x
2. Step 2: Convert to fraction form
   2,074.60/3,110.42 = 978.40/x
3. Step 3: Cross multiply
   2,074.60x = 3,110.42 × 978.40
4. Step 4: Simplify right side
   2,074.60x = 3,043,234.93
5. Step 5: Solve for x
   x = 3,043,234.93/2,074.60
6. Step 6: Final answer
   x = 1,466.90