Finding the Fourth Proportional to 1,885.48, 2,828.72 and 775.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,885.48 : 2,828.72 = 775.24 : x
2. Step 2: Convert to fraction form
   1,885.48/2,828.72 = 775.24/x
3. Step 3: Cross multiply
   1,885.48x = 2,828.72 × 775.24
4. Step 4: Simplify right side
   1,885.48x = 2,192,936.89
5. Step 5: Solve for x
   x = 2,192,936.89/1,885.48
6. Step 6: Final answer
   x = 1,163.07