Finding the Fourth Proportional to 1,335.36, 1,842.67 and 775.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.36 : 1,842.67 = 775.82 : x
2. Step 2: Convert to fraction form
   1,335.36/1,842.67 = 775.82/x
3. Step 3: Cross multiply
   1,335.36x = 1,842.67 × 775.82
4. Step 4: Simplify right side
   1,335.36x = 1,429,567.15
5. Step 5: Solve for x
   x = 1,429,567.15/1,335.36
6. Step 6: Final answer
   x = 1,070.55