Finding the Fourth Proportional to 2,507.80, 3,760.62 and 775.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.80 : 3,760.62 = 775.48 : x
2. Step 2: Convert to fraction form
   2,507.80/3,760.62 = 775.48/x
3. Step 3: Cross multiply
   2,507.80x = 3,760.62 × 775.48
4. Step 4: Simplify right side
   2,507.80x = 2,916,285.60
5. Step 5: Solve for x
   x = 2,916,285.60/2,507.80
6. Step 6: Final answer
   x = 1,162.89