Finding the Fourth Proportional to 1,365.37, 1,884.25 and 775.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.37 : 1,884.25 = 775.99 : x
2. Step 2: Convert to fraction form
   1,365.37/1,884.25 = 775.99/x
3. Step 3: Cross multiply
   1,365.37x = 1,884.25 × 775.99
4. Step 4: Simplify right side
   1,365.37x = 1,462,159.16
5. Step 5: Solve for x
   x = 1,462,159.16/1,365.37
6. Step 6: Final answer
   x = 1,070.89