Finding the Fourth Proportional to 2,538.44, 3,807.98 and 978.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.44 : 3,807.98 = 978.40 : x
2. Step 2: Convert to fraction form
   2,538.44/3,807.98 = 978.40/x
3. Step 3: Cross multiply
   2,538.44x = 3,807.98 × 978.40
4. Step 4: Simplify right side
   2,538.44x = 3,725,727.63
5. Step 5: Solve for x
   x = 3,725,727.63/2,538.44
6. Step 6: Final answer
   x = 1,467.72