Finding the Fourth Proportional to 2,978.05, 4,467.29 and 786.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.05 : 4,467.29 = 786.75 : x
2. Step 2: Convert to fraction form
   2,978.05/4,467.29 = 786.75/x
3. Step 3: Cross multiply
   2,978.05x = 4,467.29 × 786.75
4. Step 4: Simplify right side
   2,978.05x = 3,514,640.41
5. Step 5: Solve for x
   x = 3,514,640.41/2,978.05
6. Step 6: Final answer
   x = 1,180.18