Finding the Fourth Proportional to 2,517.12, 3,777.12 and 978.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,517.12 : 3,777.12 = 978.24 : x
2. Step 2: Convert to fraction form
   2,517.12/3,777.12 = 978.24/x
3. Step 3: Cross multiply
   2,517.12x = 3,777.12 × 978.24
4. Step 4: Simplify right side
   2,517.12x = 3,694,929.87
5. Step 5: Solve for x
   x = 3,694,929.87/2,517.12
6. Step 6: Final answer
   x = 1,467.92