Finding the Fourth Proportional to 1,365.05, 1,883.55 and 775.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.05 : 1,883.55 = 775.47 : x
2. Step 2: Convert to fraction form
   1,365.05/1,883.55 = 775.47/x
3. Step 3: Cross multiply
   1,365.05x = 1,883.55 × 775.47
4. Step 4: Simplify right side
   1,365.05x = 1,460,646.49
5. Step 5: Solve for x
   x = 1,460,646.49/1,365.05
6. Step 6: Final answer
   x = 1,070.03