Finding the Fourth Proportional to 2,538.80, 3,807.46 and 978.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.80 : 3,807.46 = 978.70 : x
2. Step 2: Convert to fraction form
   2,538.80/3,807.46 = 978.70/x
3. Step 3: Cross multiply
   2,538.80x = 3,807.46 × 978.70
4. Step 4: Simplify right side
   2,538.80x = 3,726,361.10
5. Step 5: Solve for x
   x = 3,726,361.10/2,538.80
6. Step 6: Final answer
   x = 1,467.76