Finding the Fourth Proportional to 2,365.24, 3,547.68 and 978.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365.24 : 3,547.68 = 978.16 : x
2. Step 2: Convert to fraction form
   2,365.24/3,547.68 = 978.16/x
3. Step 3: Cross multiply
   2,365.24x = 3,547.68 × 978.16
4. Step 4: Simplify right side
   2,365.24x = 3,470,198.67
5. Step 5: Solve for x
   x = 3,470,198.67/2,365.24
6. Step 6: Final answer
   x = 1,467.17