Finding the Fourth Proportional to 2,619.10, 3,927.42 and 769.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,619.10 : 3,927.42 = 769.74 : x
2. Step 2: Convert to fraction form
   2,619.10/3,927.42 = 769.74/x
3. Step 3: Cross multiply
   2,619.10x = 3,927.42 × 769.74
4. Step 4: Simplify right side
   2,619.10x = 3,023,092.27
5. Step 5: Solve for x
   x = 3,023,092.27/2,619.10
6. Step 6: Final answer
   x = 1,154.25