Finding the Fourth Proportional to 2,538.17, 3,807.21 and 978.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.17 : 3,807.21 = 978.51 : x
2. Step 2: Convert to fraction form
   2,538.17/3,807.21 = 978.51/x
3. Step 3: Cross multiply
   2,538.17x = 3,807.21 × 978.51
4. Step 4: Simplify right side
   2,538.17x = 3,725,393.06
5. Step 5: Solve for x
   x = 3,725,393.06/2,538.17
6. Step 6: Final answer
   x = 1,467.75