Finding the Fourth Proportional to 2,506.34, 3,760.38 and 774.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.34 : 3,760.38 = 774.96 : x
2. Step 2: Convert to fraction form
   2,506.34/3,760.38 = 774.96/x
3. Step 3: Cross multiply
   2,506.34x = 3,760.38 × 774.96
4. Step 4: Simplify right side
   2,506.34x = 2,914,144.08
5. Step 5: Solve for x
   x = 2,914,144.08/2,506.34
6. Step 6: Final answer
   x = 1,162.71