Finding the Fourth Proportional to 1,365.39, 1,884.18 and 775.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.39 : 1,884.18 = 775.98 : x
2. Step 2: Convert to fraction form
   1,365.39/1,884.18 = 775.98/x
3. Step 3: Cross multiply
   1,365.39x = 1,884.18 × 775.98
4. Step 4: Simplify right side
   1,365.39x = 1,462,086.00
5. Step 5: Solve for x
   x = 1,462,086.00/1,365.39
6. Step 6: Final answer
   x = 1,070.82