Finding the Fourth Proportional to 2,506.86, 3,760.32 and 775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.86 : 3,760.32 = 775.50 : x
2. Step 2: Convert to fraction form
   2,506.86/3,760.32 = 775.50/x
3. Step 3: Cross multiply
   2,506.86x = 3,760.32 × 775.50
4. Step 4: Simplify right side
   2,506.86x = 2,916,128.16
5. Step 5: Solve for x
   x = 2,916,128.16/2,506.86
6. Step 6: Final answer
   x = 1,163.26