Finding the Fourth Proportional to 5,779.80, 7,978.17 and 3,421.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,779.80 : 7,978.17 = 3,421.94 : x
2. Step 2: Convert to fraction form
   5,779.80/7,978.17 = 3,421.94/x
3. Step 3: Cross multiply
   5,779.80x = 7,978.17 × 3,421.94
4. Step 4: Simplify right side
   5,779.80x = 27,300,819.05
5. Step 5: Solve for x
   x = 27,300,819.05/5,779.80
6. Step 6: Final answer
   x = 4,723.49