Finding the Fourth Proportional to 2,276.96, 3,414.80 and 978.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,276.96 : 3,414.80 = 978.12 : x
2. Step 2: Convert to fraction form
   2,276.96/3,414.80 = 978.12/x
3. Step 3: Cross multiply
   2,276.96x = 3,414.80 × 978.12
4. Step 4: Simplify right side
   2,276.96x = 3,340,084.18
5. Step 5: Solve for x
   x = 3,340,084.18/2,276.96
6. Step 6: Final answer
   x = 1,466.91