Finding the Fourth Proportional to 1,335.24, 1,842.84 and 775.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.24 : 1,842.84 = 775.71 : x
2. Step 2: Convert to fraction form
   1,335.24/1,842.84 = 775.71/x
3. Step 3: Cross multiply
   1,335.24x = 1,842.84 × 775.71
4. Step 4: Simplify right side
   1,335.24x = 1,429,509.42
5. Step 5: Solve for x
   x = 1,429,509.42/1,335.24
6. Step 6: Final answer
   x = 1,070.60