Finding the Fourth Proportional to 1,335.07, 1,842.38 and 775.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.07 : 1,842.38 = 775.86 : x
2. Step 2: Convert to fraction form
   1,335.07/1,842.38 = 775.86/x
3. Step 3: Cross multiply
   1,335.07x = 1,842.38 × 775.86
4. Step 4: Simplify right side
   1,335.07x = 1,429,419.73
5. Step 5: Solve for x
   x = 1,429,419.73/1,335.07
6. Step 6: Final answer
   x = 1,070.67