Finding the Fourth Proportional to 4,222.82, 5,819.37 and 2,978.66

Step by Step Solution

1. Step 1: Write the proportion equation
   4,222.82 : 5,819.37 = 2,978.66 : x
2. Step 2: Convert to fraction form
   4,222.82/5,819.37 = 2,978.66/x
3. Step 3: Cross multiply
   4,222.82x = 5,819.37 × 2,978.66
4. Step 4: Simplify right side
   4,222.82x = 17,333,924.64
5. Step 5: Solve for x
   x = 17,333,924.64/4,222.82
6. Step 6: Final answer
   x = 4,104.82