Finding the Fourth Proportional to 1,365.36, 1,884.20 and 775.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.36 : 1,884.20 = 775.91 : x
2. Step 2: Convert to fraction form
   1,365.36/1,884.20 = 775.91/x
3. Step 3: Cross multiply
   1,365.36x = 1,884.20 × 775.91
4. Step 4: Simplify right side
   1,365.36x = 1,461,970.45
5. Step 5: Solve for x
   x = 1,461,970.45/1,365.36
6. Step 6: Final answer
   x = 1,070.76