Finding the Fourth Proportional to 2,365.71, 3,546.50 and 978.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365.71 : 3,546.50 = 978.18 : x
2. Step 2: Convert to fraction form
   2,365.71/3,546.50 = 978.18/x
3. Step 3: Cross multiply
   2,365.71x = 3,546.50 × 978.18
4. Step 4: Simplify right side
   2,365.71x = 3,469,092.75
5. Step 5: Solve for x
   x = 3,469,092.75/2,365.71
6. Step 6: Final answer
   x = 1,466.41