Finding the Fourth Proportional to 1,365.34, 1,883.90 and 775.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.34 : 1,883.90 = 775.80 : x
2. Step 2: Convert to fraction form
   1,365.34/1,883.90 = 775.80/x
3. Step 3: Cross multiply
   1,365.34x = 1,883.90 × 775.80
4. Step 4: Simplify right side
   1,365.34x = 1,461,520.20
5. Step 5: Solve for x
   x = 1,461,520.20/1,365.34
6. Step 6: Final answer
   x = 1,070.44