Finding the Fourth Proportional to 1,365.19, 1,883.89 and 775.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.19 : 1,883.89 = 775.69 : x
2. Step 2: Convert to fraction form
   1,365.19/1,883.89 = 775.69/x
3. Step 3: Cross multiply
   1,365.19x = 1,883.89 × 775.69
4. Step 4: Simplify right side
   1,365.19x = 1,461,310.89
5. Step 5: Solve for x
   x = 1,461,310.89/1,365.19
6. Step 6: Final answer
   x = 1,070.41