Finding the Fourth Proportional to 2,538.40, 3,804.96 and 978.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.40 : 3,804.96 = 978.24 : x
2. Step 2: Convert to fraction form
   2,538.40/3,804.96 = 978.24/x
3. Step 3: Cross multiply
   2,538.40x = 3,804.96 × 978.24
4. Step 4: Simplify right side
   2,538.40x = 3,722,164.07
5. Step 5: Solve for x
   x = 3,722,164.07/2,538.40
6. Step 6: Final answer
   x = 1,466.34