Finding the Fourth Proportional to 2,412.90, 3,619.31 and 769.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,412.90 : 3,619.31 = 769.42 : x
2. Step 2: Convert to fraction form
   2,412.90/3,619.31 = 769.42/x
3. Step 3: Cross multiply
   2,412.90x = 3,619.31 × 769.42
4. Step 4: Simplify right side
   2,412.90x = 2,784,769.50
5. Step 5: Solve for x
   x = 2,784,769.50/2,412.90
6. Step 6: Final answer
   x = 1,154.12