Finding the Fourth Proportional to 1,365.24, 1,883.88 and 775.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.24 : 1,883.88 = 775.74 : x
2. Step 2: Convert to fraction form
   1,365.24/1,883.88 = 775.74/x
3. Step 3: Cross multiply
   1,365.24x = 1,883.88 × 775.74
4. Step 4: Simplify right side
   1,365.24x = 1,461,401.07
5. Step 5: Solve for x
   x = 1,461,401.07/1,365.24
6. Step 6: Final answer
   x = 1,070.44