Finding the Fourth Proportional to 2,069.48, 3,105.50 and 771.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069.48 : 3,105.50 = 771.88 : x
2. Step 2: Convert to fraction form
   2,069.48/3,105.50 = 771.88/x
3. Step 3: Cross multiply
   2,069.48x = 3,105.50 × 771.88
4. Step 4: Simplify right side
   2,069.48x = 2,397,073.34
5. Step 5: Solve for x
   x = 2,397,073.34/2,069.48
6. Step 6: Final answer
   x = 1,158.30