Finding the Fourth Proportional to 2,538.72, 3,807.56 and 978.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.72 : 3,807.56 = 978.68 : x
2. Step 2: Convert to fraction form
   2,538.72/3,807.56 = 978.68/x
3. Step 3: Cross multiply
   2,538.72x = 3,807.56 × 978.68
4. Step 4: Simplify right side
   2,538.72x = 3,726,382.82
5. Step 5: Solve for x
   x = 3,726,382.82/2,538.72
6. Step 6: Final answer
   x = 1,467.82