Finding the Fourth Proportional to 5,770.69, 7,958.32 and 3,780.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,770.69 : 7,958.32 = 3,780.52 : x
2. Step 2: Convert to fraction form
   5,770.69/7,958.32 = 3,780.52/x
3. Step 3: Cross multiply
   5,770.69x = 7,958.32 × 3,780.52
4. Step 4: Simplify right side
   5,770.69x = 30,086,587.93
5. Step 5: Solve for x
   x = 30,086,587.93/5,770.69
6. Step 6: Final answer
   x = 5,213.69