Finding the Fourth Proportional to 2,530.64, 3,796.42 and 775.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,530.64 : 3,796.42 = 775.61 : x
2. Step 2: Convert to fraction form
   2,530.64/3,796.42 = 775.61/x
3. Step 3: Cross multiply
   2,530.64x = 3,796.42 × 775.61
4. Step 4: Simplify right side
   2,530.64x = 2,944,548.87
5. Step 5: Solve for x
   x = 2,944,548.87/2,530.64
6. Step 6: Final answer
   x = 1,163.56