Finding the Fourth Proportional to 1,335.52, 1,842.82 and 775.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.52 : 1,842.82 = 775.95 : x
2. Step 2: Convert to fraction form
   1,335.52/1,842.82 = 775.95/x
3. Step 3: Cross multiply
   1,335.52x = 1,842.82 × 775.95
4. Step 4: Simplify right side
   1,335.52x = 1,429,936.18
5. Step 5: Solve for x
   x = 1,429,936.18/1,335.52
6. Step 6: Final answer
   x = 1,070.70