Finding the Fourth Proportional to 2,365.82, 3,549.16 and 978.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365.82 : 3,549.16 = 978.40 : x
2. Step 2: Convert to fraction form
   2,365.82/3,549.16 = 978.40/x
3. Step 3: Cross multiply
   2,365.82x = 3,549.16 × 978.40
4. Step 4: Simplify right side
   2,365.82x = 3,472,493.25
5. Step 5: Solve for x
   x = 3,472,493.25/2,365.82
6. Step 6: Final answer
   x = 1,467.78