Finding the Fourth Proportional to 5,777.10, 7,970.27 and 3,788.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,777.10 : 7,970.27 = 3,788.78 : x
2. Step 2: Convert to fraction form
   5,777.10/7,970.27 = 3,788.78/x
3. Step 3: Cross multiply
   5,777.10x = 7,970.27 × 3,788.78
4. Step 4: Simplify right side
   5,777.10x = 30,197,540.78
5. Step 5: Solve for x
   x = 30,197,540.78/5,777.10
6. Step 6: Final answer
   x = 5,227.11