Finding the Fourth Proportional to 1,365.08, 1,883.82 and 775.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.08 : 1,883.82 = 775.58 : x
2. Step 2: Convert to fraction form
   1,365.08/1,883.82 = 775.58/x
3. Step 3: Cross multiply
   1,365.08x = 1,883.82 × 775.58
4. Step 4: Simplify right side
   1,365.08x = 1,461,053.12
5. Step 5: Solve for x
   x = 1,461,053.12/1,365.08
6. Step 6: Final answer
   x = 1,070.31