Finding the Fourth Proportional to 1,335.57, 1,842.78 and 775.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.57 : 1,842.78 = 775.71 : x
2. Step 2: Convert to fraction form
   1,335.57/1,842.78 = 775.71/x
3. Step 3: Cross multiply
   1,335.57x = 1,842.78 × 775.71
4. Step 4: Simplify right side
   1,335.57x = 1,429,462.87
5. Step 5: Solve for x
   x = 1,429,462.87/1,335.57
6. Step 6: Final answer
   x = 1,070.30