Finding the Fourth Proportional to 1,365.33, 1,884.15 and 775.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.33 : 1,884.15 = 775.87 : x
2. Step 2: Convert to fraction form
   1,365.33/1,884.15 = 775.87/x
3. Step 3: Cross multiply
   1,365.33x = 1,884.15 × 775.87
4. Step 4: Simplify right side
   1,365.33x = 1,461,855.46
5. Step 5: Solve for x
   x = 1,461,855.46/1,365.33
6. Step 6: Final answer
   x = 1,070.70