Finding the Fourth Proportional to 1,365.34, 1,883.92 and 775.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.34 : 1,883.92 = 775.76 : x
2. Step 2: Convert to fraction form
   1,365.34/1,883.92 = 775.76/x
3. Step 3: Cross multiply
   1,365.34x = 1,883.92 × 775.76
4. Step 4: Simplify right side
   1,365.34x = 1,461,469.78
5. Step 5: Solve for x
   x = 1,461,469.78/1,365.34
6. Step 6: Final answer
   x = 1,070.41